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Finding the Fourth Proportional to 23,261.84, 32,101.14 and 12,651.28

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Solution

The fourth proportional to 23,261.84, 32,101.14 and 12,651.28 is: 17,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261.84 : 32,101.14 = 12,651.28 : x
  2. Step 2: Convert to fraction form
    23,261.84/32,101.14 = 12,651.28/x
  3. Step 3: Cross multiply
    23,261.84x = 32,101.14 × 12,651.28
  4. Step 4: Simplify right side
    23,261.84x = 406,120,510.46
  5. Step 5: Solve for x
    x = 406,120,510.46/23,261.84
  6. Step 6: Final answer
    x = 17,458.66

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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.