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Finding the Fourth Proportional to 23,291.97, 32,143.04 and 12,681.57

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Solution

The fourth proportional to 23,291.97, 32,143.04 and 12,681.57 is: 17,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.97 : 32,143.04 = 12,681.57 : x
  2. Step 2: Convert to fraction form
    23,291.97/32,143.04 = 12,681.57/x
  3. Step 3: Cross multiply
    23,291.97x = 32,143.04 × 12,681.57
  4. Step 4: Simplify right side
    23,291.97x = 407,624,211.77
  5. Step 5: Solve for x
    x = 407,624,211.77/23,291.97
  6. Step 6: Final answer
    x = 17,500.63

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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.