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Finding the Fourth Proportional to 14,332.16, 19,776.64 and 8,043.20

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Solution

The fourth proportional to 14,332.16, 19,776.64 and 8,043.20 is: 11,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.16 : 19,776.64 = 8,043.20 : x
  2. Step 2: Convert to fraction form
    14,332.16/19,776.64 = 8,043.20/x
  3. Step 3: Cross multiply
    14,332.16x = 19,776.64 × 8,043.20
  4. Step 4: Simplify right side
    14,332.16x = 159,067,470.85
  5. Step 5: Solve for x
    x = 159,067,470.85/14,332.16
  6. Step 6: Final answer
    x = 11,098.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.