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Finding the Fourth Proportional to 16,345.30, 24,471.91 and 10,407.60

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Solution

The fourth proportional to 16,345.30, 24,471.91 and 10,407.60 is: 15,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,345.30 : 24,471.91 = 10,407.60 : x
  2. Step 2: Convert to fraction form
    16,345.30/24,471.91 = 10,407.60/x
  3. Step 3: Cross multiply
    16,345.30x = 24,471.91 × 10,407.60
  4. Step 4: Simplify right side
    16,345.30x = 254,693,850.52
  5. Step 5: Solve for x
    x = 254,693,850.52/16,345.30
  6. Step 6: Final answer
    x = 15,582.08

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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.