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Finding the Fourth Proportional to 28,931.28, 43,397.64 and 8,154

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Solution

The fourth proportional to 28,931.28, 43,397.64 and 8,154 is: 12,231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,931.28 : 43,397.64 = 8,154 : x
  2. Step 2: Convert to fraction form
    28,931.28/43,397.64 = 8,154/x
  3. Step 3: Cross multiply
    28,931.28x = 43,397.64 × 8,154
  4. Step 4: Simplify right side
    28,931.28x = 353,864,356.56
  5. Step 5: Solve for x
    x = 353,864,356.56/28,931.28
  6. Step 6: Final answer
    x = 12,231.20

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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.