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Finding the Fourth Proportional to 12,959.60, 19,434.60 and 9,052.40

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Solution

The fourth proportional to 12,959.60, 19,434.60 and 9,052.40 is: 13,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.60 : 19,434.60 = 9,052.40 : x
  2. Step 2: Convert to fraction form
    12,959.60/19,434.60 = 9,052.40/x
  3. Step 3: Cross multiply
    12,959.60x = 19,434.60 × 9,052.40
  4. Step 4: Simplify right side
    12,959.60x = 175,929,773.04
  5. Step 5: Solve for x
    x = 175,929,773.04/12,959.60
  6. Step 6: Final answer
    x = 13,575.25

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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.