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Finding the Fourth Proportional to 10,015.70, 15,023.55 and 9,589.10

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Solution

The fourth proportional to 10,015.70, 15,023.55 and 9,589.10 is: 14,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.70 : 15,023.55 = 9,589.10 : x
  2. Step 2: Convert to fraction form
    10,015.70/15,023.55 = 9,589.10/x
  3. Step 3: Cross multiply
    10,015.70x = 15,023.55 × 9,589.10
  4. Step 4: Simplify right side
    10,015.70x = 144,062,323.31
  5. Step 5: Solve for x
    x = 144,062,323.31/10,015.70
  6. Step 6: Final answer
    x = 14,383.65

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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.