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Finding the Fourth Proportional to 10,152.40, 15,228.60 and 9,589.20

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Solution

The fourth proportional to 10,152.40, 15,228.60 and 9,589.20 is: 14,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.40 : 15,228.60 = 9,589.20 : x
  2. Step 2: Convert to fraction form
    10,152.40/15,228.60 = 9,589.20/x
  3. Step 3: Cross multiply
    10,152.40x = 15,228.60 × 9,589.20
  4. Step 4: Simplify right side
    10,152.40x = 146,030,091.12
  5. Step 5: Solve for x
    x = 146,030,091.12/10,152.40
  6. Step 6: Final answer
    x = 14,383.80

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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.