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Finding the Fourth Proportional to 16,142.08, 22,276 and 9,432.32

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Solution

The fourth proportional to 16,142.08, 22,276 and 9,432.32 is: 13,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.08 : 22,276 = 9,432.32 : x
  2. Step 2: Convert to fraction form
    16,142.08/22,276 = 9,432.32/x
  3. Step 3: Cross multiply
    16,142.08x = 22,276 × 9,432.32
  4. Step 4: Simplify right side
    16,142.08x = 210,114,360.32
  5. Step 5: Solve for x
    x = 210,114,360.32/16,142.08
  6. Step 6: Final answer
    x = 13,016.56

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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.