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Finding the Fourth Proportional to 15,277.10, 22,901 and 9,713.22

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Solution

The fourth proportional to 15,277.10, 22,901 and 9,713.22 is: 14,560.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,277.10 : 22,901 = 9,713.22 : x
  2. Step 2: Convert to fraction form
    15,277.10/22,901 = 9,713.22/x
  3. Step 3: Cross multiply
    15,277.10x = 22,901 × 9,713.22
  4. Step 4: Simplify right side
    15,277.10x = 222,442,451.22
  5. Step 5: Solve for x
    x = 222,442,451.22/15,277.10
  6. Step 6: Final answer
    x = 14,560.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.