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Finding the Fourth Proportional to 21,428.88, 29,566.77 and 12,471

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Solution

The fourth proportional to 21,428.88, 29,566.77 and 12,471 is: 17,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.88 : 29,566.77 = 12,471 : x
  2. Step 2: Convert to fraction form
    21,428.88/29,566.77 = 12,471/x
  3. Step 3: Cross multiply
    21,428.88x = 29,566.77 × 12,471
  4. Step 4: Simplify right side
    21,428.88x = 368,727,188.67
  5. Step 5: Solve for x
    x = 368,727,188.67/21,428.88
  6. Step 6: Final answer
    x = 17,207.02

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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.