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Finding the Fourth Proportional to 21,164.22, 29,211.84 and 12,557.70

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Solution

The fourth proportional to 21,164.22, 29,211.84 and 12,557.70 is: 17,332.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.22 : 29,211.84 = 12,557.70 : x
  2. Step 2: Convert to fraction form
    21,164.22/29,211.84 = 12,557.70/x
  3. Step 3: Cross multiply
    21,164.22x = 29,211.84 × 12,557.70
  4. Step 4: Simplify right side
    21,164.22x = 366,833,523.17
  5. Step 5: Solve for x
    x = 366,833,523.17/21,164.22
  6. Step 6: Final answer
    x = 17,332.72

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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.