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Finding the Fourth Proportional to 16,531.60, 24,801.16 and 5,438.40

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Solution

The fourth proportional to 16,531.60, 24,801.16 and 5,438.40 is: 8,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.60 : 24,801.16 = 5,438.40 : x
  2. Step 2: Convert to fraction form
    16,531.60/24,801.16 = 5,438.40/x
  3. Step 3: Cross multiply
    16,531.60x = 24,801.16 × 5,438.40
  4. Step 4: Simplify right side
    16,531.60x = 134,878,628.54
  5. Step 5: Solve for x
    x = 134,878,628.54/16,531.60
  6. Step 6: Final answer
    x = 8,158.84

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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.