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Finding the Fourth Proportional to 12,382.47, 17,087.50 and 6,931.46

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Solution

The fourth proportional to 12,382.47, 17,087.50 and 6,931.46 is: 9,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.47 : 17,087.50 = 6,931.46 : x
  2. Step 2: Convert to fraction form
    12,382.47/17,087.50 = 6,931.46/x
  3. Step 3: Cross multiply
    12,382.47x = 17,087.50 × 6,931.46
  4. Step 4: Simplify right side
    12,382.47x = 118,441,322.75
  5. Step 5: Solve for x
    x = 118,441,322.75/12,382.47
  6. Step 6: Final answer
    x = 9,565.24

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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.