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Finding the Fourth Proportional to 15,574.91, 21,493.40 and 8,501.78

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Solution

The fourth proportional to 15,574.91, 21,493.40 and 8,501.78 is: 11,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.91 : 21,493.40 = 8,501.78 : x
  2. Step 2: Convert to fraction form
    15,574.91/21,493.40 = 8,501.78/x
  3. Step 3: Cross multiply
    15,574.91x = 21,493.40 × 8,501.78
  4. Step 4: Simplify right side
    15,574.91x = 182,732,008.28
  5. Step 5: Solve for x
    x = 182,732,008.28/15,574.91
  6. Step 6: Final answer
    x = 11,732.46

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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.