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Finding the Fourth Proportional to 24,871.84, 34,323.06 and 13,693.84

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Solution

The fourth proportional to 24,871.84, 34,323.06 and 13,693.84 is: 18,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871.84 : 34,323.06 = 13,693.84 : x
  2. Step 2: Convert to fraction form
    24,871.84/34,323.06 = 13,693.84/x
  3. Step 3: Cross multiply
    24,871.84x = 34,323.06 × 13,693.84
  4. Step 4: Simplify right side
    24,871.84x = 470,014,491.95
  5. Step 5: Solve for x
    x = 470,014,491.95/24,871.84
  6. Step 6: Final answer
    x = 18,897.46

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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.