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Finding the Fourth Proportional to 12,574.80, 18,837.90 and 7,374.60

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Solution

The fourth proportional to 12,574.80, 18,837.90 and 7,374.60 is: 11,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.80 : 18,837.90 = 7,374.60 : x
  2. Step 2: Convert to fraction form
    12,574.80/18,837.90 = 7,374.60/x
  3. Step 3: Cross multiply
    12,574.80x = 18,837.90 × 7,374.60
  4. Step 4: Simplify right side
    12,574.80x = 138,921,977.34
  5. Step 5: Solve for x
    x = 138,921,977.34/12,574.80
  6. Step 6: Final answer
    x = 11,047.65

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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.