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Finding the Fourth Proportional to 18,587.40, 27,855.76 and 10,255

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Solution

The fourth proportional to 18,587.40, 27,855.76 and 10,255 is: 15,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,587.40 : 27,855.76 = 10,255 : x
  2. Step 2: Convert to fraction form
    18,587.40/27,855.76 = 10,255/x
  3. Step 3: Cross multiply
    18,587.40x = 27,855.76 × 10,255
  4. Step 4: Simplify right side
    18,587.40x = 285,660,818.80
  5. Step 5: Solve for x
    x = 285,660,818.80/18,587.40
  6. Step 6: Final answer
    x = 15,368.52

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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.