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Finding the Fourth Proportional to 16,201.86, 24,247.71 and 10,275.90

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Solution

The fourth proportional to 16,201.86, 24,247.71 and 10,275.90 is: 15,378.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.86 : 24,247.71 = 10,275.90 : x
  2. Step 2: Convert to fraction form
    16,201.86/24,247.71 = 10,275.90/x
  3. Step 3: Cross multiply
    16,201.86x = 24,247.71 × 10,275.90
  4. Step 4: Simplify right side
    16,201.86x = 249,167,043.19
  5. Step 5: Solve for x
    x = 249,167,043.19/16,201.86
  6. Step 6: Final answer
    x = 15,378.92

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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.