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Finding the Fourth Proportional to 24,871.96, 34,323.30 and 13,693.96

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Solution

The fourth proportional to 24,871.96, 34,323.30 and 13,693.96 is: 18,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.96 : 34,323.30 = 13,693.96 : x
  2. Step 2: Convert to fraction form
    24,871.96/34,323.30 = 13,693.96/x
  3. Step 3: Cross multiply
    24,871.96x = 34,323.30 × 13,693.96
  4. Step 4: Simplify right side
    24,871.96x = 470,021,897.27
  5. Step 5: Solve for x
    x = 470,021,897.27/24,871.96
  6. Step 6: Final answer
    x = 18,897.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.