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Finding the Fourth Proportional to 15,535.52, 21,436.07 and 9,164.12

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Solution

The fourth proportional to 15,535.52, 21,436.07 and 9,164.12 is: 12,644.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.52 : 21,436.07 = 9,164.12 : x
  2. Step 2: Convert to fraction form
    15,535.52/21,436.07 = 9,164.12/x
  3. Step 3: Cross multiply
    15,535.52x = 21,436.07 × 9,164.12
  4. Step 4: Simplify right side
    15,535.52x = 196,442,564.81
  5. Step 5: Solve for x
    x = 196,442,564.81/15,535.52
  6. Step 6: Final answer
    x = 12,644.74

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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.