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Finding the Fourth Proportional to 24,792.84, 37,155.54 and 13,683

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Solution

The fourth proportional to 24,792.84, 37,155.54 and 13,683 is: 20,505.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.84 : 37,155.54 = 13,683 : x
  2. Step 2: Convert to fraction form
    24,792.84/37,155.54 = 13,683/x
  3. Step 3: Cross multiply
    24,792.84x = 37,155.54 × 13,683
  4. Step 4: Simplify right side
    24,792.84x = 508,399,253.82
  5. Step 5: Solve for x
    x = 508,399,253.82/24,792.84
  6. Step 6: Final answer
    x = 20,505.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.