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Finding the Fourth Proportional to 14,932.60, 22,403.76 and 7,142

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Solution

The fourth proportional to 14,932.60, 22,403.76 and 7,142 is: 10,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.60 : 22,403.76 = 7,142 : x
  2. Step 2: Convert to fraction form
    14,932.60/22,403.76 = 7,142/x
  3. Step 3: Cross multiply
    14,932.60x = 22,403.76 × 7,142
  4. Step 4: Simplify right side
    14,932.60x = 160,007,653.92
  5. Step 5: Solve for x
    x = 160,007,653.92/14,932.60
  6. Step 6: Final answer
    x = 10,715.32

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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.