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Finding the Fourth Proportional to 12,235.60, 16,854.90 and 10,437.22

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Solution

The fourth proportional to 12,235.60, 16,854.90 and 10,437.22 is: 14,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.60 : 16,854.90 = 10,437.22 : x
  2. Step 2: Convert to fraction form
    12,235.60/16,854.90 = 10,437.22/x
  3. Step 3: Cross multiply
    12,235.60x = 16,854.90 × 10,437.22
  4. Step 4: Simplify right side
    12,235.60x = 175,918,299.38
  5. Step 5: Solve for x
    x = 175,918,299.38/12,235.60
  6. Step 6: Final answer
    x = 14,377.58

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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.