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Finding the Fourth Proportional to 15,311.04, 21,134.56 and 9,023

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Solution

The fourth proportional to 15,311.04, 21,134.56 and 9,023 is: 12,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.04 : 21,134.56 = 9,023 : x
  2. Step 2: Convert to fraction form
    15,311.04/21,134.56 = 9,023/x
  3. Step 3: Cross multiply
    15,311.04x = 21,134.56 × 9,023
  4. Step 4: Simplify right side
    15,311.04x = 190,697,134.88
  5. Step 5: Solve for x
    x = 190,697,134.88/15,311.04
  6. Step 6: Final answer
    x = 12,454.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.