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Finding the Fourth Proportional to 12,632.32, 17,434.16 and 7,599.16

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Solution

The fourth proportional to 12,632.32, 17,434.16 and 7,599.16 is: 10,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.32 : 17,434.16 = 7,599.16 : x
  2. Step 2: Convert to fraction form
    12,632.32/17,434.16 = 7,599.16/x
  3. Step 3: Cross multiply
    12,632.32x = 17,434.16 × 7,599.16
  4. Step 4: Simplify right side
    12,632.32x = 132,484,971.31
  5. Step 5: Solve for x
    x = 132,484,971.31/12,632.32
  6. Step 6: Final answer
    x = 10,487.78

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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.