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Finding the Fourth Proportional to 15,656.38, 21,609.89 and 9,684.58

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Solution

The fourth proportional to 15,656.38, 21,609.89 and 9,684.58 is: 13,367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,656.38 : 21,609.89 = 9,684.58 : x
  2. Step 2: Convert to fraction form
    15,656.38/21,609.89 = 9,684.58/x
  3. Step 3: Cross multiply
    15,656.38x = 21,609.89 × 9,684.58
  4. Step 4: Simplify right side
    15,656.38x = 209,282,708.50
  5. Step 5: Solve for x
    x = 209,282,708.50/15,656.38
  6. Step 6: Final answer
    x = 13,367.25

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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.