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Finding the Fourth Proportional to 12,535.64, 17,259.72 and 9,541.88

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Solution

The fourth proportional to 12,535.64, 17,259.72 and 9,541.88 is: 13,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.64 : 17,259.72 = 9,541.88 : x
  2. Step 2: Convert to fraction form
    12,535.64/17,259.72 = 9,541.88/x
  3. Step 3: Cross multiply
    12,535.64x = 17,259.72 × 9,541.88
  4. Step 4: Simplify right side
    12,535.64x = 164,690,177.07
  5. Step 5: Solve for x
    x = 164,690,177.07/12,535.64
  6. Step 6: Final answer
    x = 13,137.76

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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.