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Finding the Fourth Proportional to 12,424.52, 17,152.16 and 9,585.47

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Solution

The fourth proportional to 12,424.52, 17,152.16 and 9,585.47 is: 13,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.52 : 17,152.16 = 9,585.47 : x
  2. Step 2: Convert to fraction form
    12,424.52/17,152.16 = 9,585.47/x
  3. Step 3: Cross multiply
    12,424.52x = 17,152.16 × 9,585.47
  4. Step 4: Simplify right side
    12,424.52x = 164,411,510.07
  5. Step 5: Solve for x
    x = 164,411,510.07/12,424.52
  6. Step 6: Final answer
    x = 13,232.82

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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.