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Finding the Fourth Proportional to 24,478.29, 33,772.01 and 13,721.49

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Solution

The fourth proportional to 24,478.29, 33,772.01 and 13,721.49 is: 18,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.29 : 33,772.01 = 13,721.49 : x
  2. Step 2: Convert to fraction form
    24,478.29/33,772.01 = 13,721.49/x
  3. Step 3: Cross multiply
    24,478.29x = 33,772.01 × 13,721.49
  4. Step 4: Simplify right side
    24,478.29x = 463,402,228.89
  5. Step 5: Solve for x
    x = 463,402,228.89/24,478.29
  6. Step 6: Final answer
    x = 18,931.15

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