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Finding the Fourth Proportional to 10,154.76, 15,246.72 and 9,892.32

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Solution

The fourth proportional to 10,154.76, 15,246.72 and 9,892.32 is: 14,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.76 : 15,246.72 = 9,892.32 : x
  2. Step 2: Convert to fraction form
    10,154.76/15,246.72 = 9,892.32/x
  3. Step 3: Cross multiply
    10,154.76x = 15,246.72 × 9,892.32
  4. Step 4: Simplify right side
    10,154.76x = 150,825,433.19
  5. Step 5: Solve for x
    x = 150,825,433.19/10,154.76
  6. Step 6: Final answer
    x = 14,852.68

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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.