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Finding the Fourth Proportional to 16,407.20, 24,603.60 and 6,543.20

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Solution

The fourth proportional to 16,407.20, 24,603.60 and 6,543.20 is: 9,811.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.20 : 24,603.60 = 6,543.20 : x
  2. Step 2: Convert to fraction form
    16,407.20/24,603.60 = 6,543.20/x
  3. Step 3: Cross multiply
    16,407.20x = 24,603.60 × 6,543.20
  4. Step 4: Simplify right side
    16,407.20x = 160,986,275.52
  5. Step 5: Solve for x
    x = 160,986,275.52/16,407.20
  6. Step 6: Final answer
    x = 9,811.93

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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.