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Finding the Fourth Proportional to 15,507.70, 21,403.71 and 9,218.86

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Solution

The fourth proportional to 15,507.70, 21,403.71 and 9,218.86 is: 12,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.70 : 21,403.71 = 9,218.86 : x
  2. Step 2: Convert to fraction form
    15,507.70/21,403.71 = 9,218.86/x
  3. Step 3: Cross multiply
    15,507.70x = 21,403.71 × 9,218.86
  4. Step 4: Simplify right side
    15,507.70x = 197,317,805.97
  5. Step 5: Solve for x
    x = 197,317,805.97/15,507.70
  6. Step 6: Final answer
    x = 12,723.86

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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.