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Finding the Fourth Proportional to 15,657.60, 23,444.03 and 11,465.85

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Solution

The fourth proportional to 15,657.60, 23,444.03 and 11,465.85 is: 17,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.60 : 23,444.03 = 11,465.85 : x
  2. Step 2: Convert to fraction form
    15,657.60/23,444.03 = 11,465.85/x
  3. Step 3: Cross multiply
    15,657.60x = 23,444.03 × 11,465.85
  4. Step 4: Simplify right side
    15,657.60x = 268,805,847.96
  5. Step 5: Solve for x
    x = 268,805,847.96/15,657.60
  6. Step 6: Final answer
    x = 17,167.75

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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.