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Finding the Fourth Proportional to 21,681.74, 29,921.38 and 12,250.10

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Solution

The fourth proportional to 21,681.74, 29,921.38 and 12,250.10 is: 16,905.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.74 : 29,921.38 = 12,250.10 : x
  2. Step 2: Convert to fraction form
    21,681.74/29,921.38 = 12,250.10/x
  3. Step 3: Cross multiply
    21,681.74x = 29,921.38 × 12,250.10
  4. Step 4: Simplify right side
    21,681.74x = 366,539,897.14
  5. Step 5: Solve for x
    x = 366,539,897.14/21,681.74
  6. Step 6: Final answer
    x = 16,905.47

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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.