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Finding the Fourth Proportional to 21,996.66, 30,357 and 12,565.02

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Solution

The fourth proportional to 21,996.66, 30,357 and 12,565.02 is: 17,340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996.66 : 30,357 = 12,565.02 : x
  2. Step 2: Convert to fraction form
    21,996.66/30,357 = 12,565.02/x
  3. Step 3: Cross multiply
    21,996.66x = 30,357 × 12,565.02
  4. Step 4: Simplify right side
    21,996.66x = 381,436,312.14
  5. Step 5: Solve for x
    x = 381,436,312.14/21,996.66
  6. Step 6: Final answer
    x = 17,340.65

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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.