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Finding the Fourth Proportional to 15,594.31, 23,382.55 and 9,271.86

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Solution

The fourth proportional to 15,594.31, 23,382.55 and 9,271.86 is: 13,902.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,594.31 : 23,382.55 = 9,271.86 : x
  2. Step 2: Convert to fraction form
    15,594.31/23,382.55 = 9,271.86/x
  3. Step 3: Cross multiply
    15,594.31x = 23,382.55 × 9,271.86
  4. Step 4: Simplify right side
    15,594.31x = 216,799,730.04
  5. Step 5: Solve for x
    x = 216,799,730.04/15,594.31
  6. Step 6: Final answer
    x = 13,902.49

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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.