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Finding the Fourth Proportional to 15,934.50, 21,988.89 and 9,564.86

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Solution

The fourth proportional to 15,934.50, 21,988.89 and 9,564.86 is: 13,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934.50 : 21,988.89 = 9,564.86 : x
  2. Step 2: Convert to fraction form
    15,934.50/21,988.89 = 9,564.86/x
  3. Step 3: Cross multiply
    15,934.50x = 21,988.89 × 9,564.86
  4. Step 4: Simplify right side
    15,934.50x = 210,320,709.38
  5. Step 5: Solve for x
    x = 210,320,709.38/15,934.50
  6. Step 6: Final answer
    x = 13,199.08

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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.