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Finding the Fourth Proportional to 12,386.80, 18,565.80 and 4,987.60

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Solution

The fourth proportional to 12,386.80, 18,565.80 and 4,987.60 is: 7,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.80 : 18,565.80 = 4,987.60 : x
  2. Step 2: Convert to fraction form
    12,386.80/18,565.80 = 4,987.60/x
  3. Step 3: Cross multiply
    12,386.80x = 18,565.80 × 4,987.60
  4. Step 4: Simplify right side
    12,386.80x = 92,598,784.08
  5. Step 5: Solve for x
    x = 92,598,784.08/12,386.80
  6. Step 6: Final answer
    x = 7,475.60

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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.