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Finding the Fourth Proportional to 23,117.38, 34,681.53 and 7,535

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Solution

The fourth proportional to 23,117.38, 34,681.53 and 7,535 is: 11,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.38 : 34,681.53 = 7,535 : x
  2. Step 2: Convert to fraction form
    23,117.38/34,681.53 = 7,535/x
  3. Step 3: Cross multiply
    23,117.38x = 34,681.53 × 7,535
  4. Step 4: Simplify right side
    23,117.38x = 261,325,328.55
  5. Step 5: Solve for x
    x = 261,325,328.55/23,117.38
  6. Step 6: Final answer
    x = 11,304.28

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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.