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Finding the Fourth Proportional to 23,242.77, 32,064.66 and 15,686.82

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Solution

The fourth proportional to 23,242.77, 32,064.66 and 15,686.82 is: 21,640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.77 : 32,064.66 = 15,686.82 : x
  2. Step 2: Convert to fraction form
    23,242.77/32,064.66 = 15,686.82/x
  3. Step 3: Cross multiply
    23,242.77x = 32,064.66 × 15,686.82
  4. Step 4: Simplify right side
    23,242.77x = 502,992,549.78
  5. Step 5: Solve for x
    x = 502,992,549.78/23,242.77
  6. Step 6: Final answer
    x = 21,640.82

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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.