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Finding the Fourth Proportional to 21,488.68, 29,656.66 and 12,057.32

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Solution

The fourth proportional to 21,488.68, 29,656.66 and 12,057.32 is: 16,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,488.68 : 29,656.66 = 12,057.32 : x
  2. Step 2: Convert to fraction form
    21,488.68/29,656.66 = 12,057.32/x
  3. Step 3: Cross multiply
    21,488.68x = 29,656.66 × 12,057.32
  4. Step 4: Simplify right side
    21,488.68x = 357,579,839.75
  5. Step 5: Solve for x
    x = 357,579,839.75/21,488.68
  6. Step 6: Final answer
    x = 16,640.38

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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.