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Finding the Fourth Proportional to 16,432.16, 24,649.32 and 5,904.32

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Solution

The fourth proportional to 16,432.16, 24,649.32 and 5,904.32 is: 8,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.16 : 24,649.32 = 5,904.32 : x
  2. Step 2: Convert to fraction form
    16,432.16/24,649.32 = 5,904.32/x
  3. Step 3: Cross multiply
    16,432.16x = 24,649.32 × 5,904.32
  4. Step 4: Simplify right side
    16,432.16x = 145,537,473.06
  5. Step 5: Solve for x
    x = 145,537,473.06/16,432.16
  6. Step 6: Final answer
    x = 8,856.87

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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.