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Finding the Fourth Proportional to 15,934.20, 21,994.65 and 9,646.57

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Solution

The fourth proportional to 15,934.20, 21,994.65 and 9,646.57 is: 13,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,934.20 : 21,994.65 = 9,646.57 : x
  2. Step 2: Convert to fraction form
    15,934.20/21,994.65 = 9,646.57/x
  3. Step 3: Cross multiply
    15,934.20x = 21,994.65 × 9,646.57
  4. Step 4: Simplify right side
    15,934.20x = 212,172,930.85
  5. Step 5: Solve for x
    x = 212,172,930.85/15,934.20
  6. Step 6: Final answer
    x = 13,315.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.