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Finding the Fourth Proportional to 24,733, 34,133.70 and 13,557.16

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Solution

The fourth proportional to 24,733, 34,133.70 and 13,557.16 is: 18,710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733 : 34,133.70 = 13,557.16 : x
  2. Step 2: Convert to fraction form
    24,733/34,133.70 = 13,557.16/x
  3. Step 3: Cross multiply
    24,733x = 34,133.70 × 13,557.16
  4. Step 4: Simplify right side
    24,733x = 462,756,032.29
  5. Step 5: Solve for x
    x = 462,756,032.29/24,733
  6. Step 6: Final answer
    x = 18,710.06

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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.