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Finding the Fourth Proportional to 15,646.12, 21,591.96 and 9,677.68

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Solution

The fourth proportional to 15,646.12, 21,591.96 and 9,677.68 is: 13,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.12 : 21,591.96 = 9,677.68 : x
  2. Step 2: Convert to fraction form
    15,646.12/21,591.96 = 9,677.68/x
  3. Step 3: Cross multiply
    15,646.12x = 21,591.96 × 9,677.68
  4. Step 4: Simplify right side
    15,646.12x = 208,960,079.45
  5. Step 5: Solve for x
    x = 208,960,079.45/15,646.12
  6. Step 6: Final answer
    x = 13,355.39

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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.