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Finding the Fourth Proportional to 17,616.46, 24,309 and 10,542.72

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Solution

The fourth proportional to 17,616.46, 24,309 and 10,542.72 is: 14,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.46 : 24,309 = 10,542.72 : x
  2. Step 2: Convert to fraction form
    17,616.46/24,309 = 10,542.72/x
  3. Step 3: Cross multiply
    17,616.46x = 24,309 × 10,542.72
  4. Step 4: Simplify right side
    17,616.46x = 256,282,980.48
  5. Step 5: Solve for x
    x = 256,282,980.48/17,616.46
  6. Step 6: Final answer
    x = 14,547.93

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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.