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Finding the Fourth Proportional to 10,649.04, 15,921 and 9,023.76

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Solution

The fourth proportional to 10,649.04, 15,921 and 9,023.76 is: 13,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.04 : 15,921 = 9,023.76 : x
  2. Step 2: Convert to fraction form
    10,649.04/15,921 = 9,023.76/x
  3. Step 3: Cross multiply
    10,649.04x = 15,921 × 9,023.76
  4. Step 4: Simplify right side
    10,649.04x = 143,667,282.96
  5. Step 5: Solve for x
    x = 143,667,282.96/10,649.04
  6. Step 6: Final answer
    x = 13,491.10

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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.