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Finding the Fourth Proportional to 15,704.80, 23,535.52 and 11,547.07

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Solution

The fourth proportional to 15,704.80, 23,535.52 and 11,547.07 is: 17,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.80 : 23,535.52 = 11,547.07 : x
  2. Step 2: Convert to fraction form
    15,704.80/23,535.52 = 11,547.07/x
  3. Step 3: Cross multiply
    15,704.80x = 23,535.52 × 11,547.07
  4. Step 4: Simplify right side
    15,704.80x = 271,766,296.93
  5. Step 5: Solve for x
    x = 271,766,296.93/15,704.80
  6. Step 6: Final answer
    x = 17,304.66

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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.