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Finding the Fourth Proportional to 15,200.59, 22,826.11 and 9,394.11

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Solution

The fourth proportional to 15,200.59, 22,826.11 and 9,394.11 is: 14,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200.59 : 22,826.11 = 9,394.11 : x
  2. Step 2: Convert to fraction form
    15,200.59/22,826.11 = 9,394.11/x
  3. Step 3: Cross multiply
    15,200.59x = 22,826.11 × 9,394.11
  4. Step 4: Simplify right side
    15,200.59x = 214,430,988.21
  5. Step 5: Solve for x
    x = 214,430,988.21/15,200.59
  6. Step 6: Final answer
    x = 14,106.75

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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.