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Finding the Fourth Proportional to 12,765.59, 19,152.02 and 9,259.10

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Solution

The fourth proportional to 12,765.59, 19,152.02 and 9,259.10 is: 13,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.59 : 19,152.02 = 9,259.10 : x
  2. Step 2: Convert to fraction form
    12,765.59/19,152.02 = 9,259.10/x
  3. Step 3: Cross multiply
    12,765.59x = 19,152.02 × 9,259.10
  4. Step 4: Simplify right side
    12,765.59x = 177,330,468.38
  5. Step 5: Solve for x
    x = 177,330,468.38/12,765.59
  6. Step 6: Final answer
    x = 13,891.29

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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.