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Finding the Fourth Proportional to 14,921.60, 22,382.40 and 7,145.60

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Solution

The fourth proportional to 14,921.60, 22,382.40 and 7,145.60 is: 10,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.60 : 22,382.40 = 7,145.60 : x
  2. Step 2: Convert to fraction form
    14,921.60/22,382.40 = 7,145.60/x
  3. Step 3: Cross multiply
    14,921.60x = 22,382.40 × 7,145.60
  4. Step 4: Simplify right side
    14,921.60x = 159,935,677.44
  5. Step 5: Solve for x
    x = 159,935,677.44/14,921.60
  6. Step 6: Final answer
    x = 10,718.40

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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.