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Finding the Fourth Proportional to 23,239.13, 34,864.16 and 7,656.75

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Solution

The fourth proportional to 23,239.13, 34,864.16 and 7,656.75 is: 11,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,239.13 : 34,864.16 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    23,239.13/34,864.16 = 7,656.75/x
  3. Step 3: Cross multiply
    23,239.13x = 34,864.16 × 7,656.75
  4. Step 4: Simplify right side
    23,239.13x = 266,946,118.80
  5. Step 5: Solve for x
    x = 266,946,118.80/23,239.13
  6. Step 6: Final answer
    x = 11,486.93

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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.