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Finding the Fourth Proportional to 21,266.16, 29,347.31 and 12,314.14

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Solution

The fourth proportional to 21,266.16, 29,347.31 and 12,314.14 is: 16,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.16 : 29,347.31 = 12,314.14 : x
  2. Step 2: Convert to fraction form
    21,266.16/29,347.31 = 12,314.14/x
  3. Step 3: Cross multiply
    21,266.16x = 29,347.31 × 12,314.14
  4. Step 4: Simplify right side
    21,266.16x = 361,386,841.38
  5. Step 5: Solve for x
    x = 361,386,841.38/21,266.16
  6. Step 6: Final answer
    x = 16,993.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.