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Finding the Fourth Proportional to 24,473, 33,776 and 13,862.64

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Solution

The fourth proportional to 24,473, 33,776 and 13,862.64 is: 19,132.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473 : 33,776 = 13,862.64 : x
  2. Step 2: Convert to fraction form
    24,473/33,776 = 13,862.64/x
  3. Step 3: Cross multiply
    24,473x = 33,776 × 13,862.64
  4. Step 4: Simplify right side
    24,473x = 468,224,528.64
  5. Step 5: Solve for x
    x = 468,224,528.64/24,473
  6. Step 6: Final answer
    x = 19,132.29

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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.