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Finding the Fourth Proportional to 16,542.17, 24,810.32 and 7,534.22

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Solution

The fourth proportional to 16,542.17, 24,810.32 and 7,534.22 is: 11,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.17 : 24,810.32 = 7,534.22 : x
  2. Step 2: Convert to fraction form
    16,542.17/24,810.32 = 7,534.22/x
  3. Step 3: Cross multiply
    16,542.17x = 24,810.32 × 7,534.22
  4. Step 4: Simplify right side
    16,542.17x = 186,926,303.93
  5. Step 5: Solve for x
    x = 186,926,303.93/16,542.17
  6. Step 6: Final answer
    x = 11,299.99

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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.