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Finding the Fourth Proportional to 23,271.46, 32,114.76 and 12,661.17

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Solution

The fourth proportional to 23,271.46, 32,114.76 and 12,661.17 is: 17,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,271.46 : 32,114.76 = 12,661.17 : x
  2. Step 2: Convert to fraction form
    23,271.46/32,114.76 = 12,661.17/x
  3. Step 3: Cross multiply
    23,271.46x = 32,114.76 × 12,661.17
  4. Step 4: Simplify right side
    23,271.46x = 406,610,388.39
  5. Step 5: Solve for x
    x = 406,610,388.39/23,271.46
  6. Step 6: Final answer
    x = 17,472.49

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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.