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Finding the Fourth Proportional to 15,657.49, 23,468.62 and 6,295.31

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Solution

The fourth proportional to 15,657.49, 23,468.62 and 6,295.31 is: 9,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.49 : 23,468.62 = 6,295.31 : x
  2. Step 2: Convert to fraction form
    15,657.49/23,468.62 = 6,295.31/x
  3. Step 3: Cross multiply
    15,657.49x = 23,468.62 × 6,295.31
  4. Step 4: Simplify right side
    15,657.49x = 147,742,238.17
  5. Step 5: Solve for x
    x = 147,742,238.17/15,657.49
  6. Step 6: Final answer
    x = 9,435.88

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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.