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Finding the Fourth Proportional to 24,788.94, 34,208.16 and 14,177.94

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Solution

The fourth proportional to 24,788.94, 34,208.16 and 14,177.94 is: 19,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,788.94 : 34,208.16 = 14,177.94 : x
  2. Step 2: Convert to fraction form
    24,788.94/34,208.16 = 14,177.94/x
  3. Step 3: Cross multiply
    24,788.94x = 34,208.16 × 14,177.94
  4. Step 4: Simplify right side
    24,788.94x = 485,001,239.99
  5. Step 5: Solve for x
    x = 485,001,239.99/24,788.94
  6. Step 6: Final answer
    x = 19,565.23

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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.