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Finding the Fourth Proportional to 23,597.29, 32,564.49 and 12,987.17

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Solution

The fourth proportional to 23,597.29, 32,564.49 and 12,987.17 is: 17,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.29 : 32,564.49 = 12,987.17 : x
  2. Step 2: Convert to fraction form
    23,597.29/32,564.49 = 12,987.17/x
  3. Step 3: Cross multiply
    23,597.29x = 32,564.49 × 12,987.17
  4. Step 4: Simplify right side
    23,597.29x = 422,920,551.24
  5. Step 5: Solve for x
    x = 422,920,551.24/23,597.29
  6. Step 6: Final answer
    x = 17,922.42

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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.