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Finding the Fourth Proportional to 18,053.78, 24,913.68 and 9,987.76

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Solution

The fourth proportional to 18,053.78, 24,913.68 and 9,987.76 is: 13,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,053.78 : 24,913.68 = 9,987.76 : x
  2. Step 2: Convert to fraction form
    18,053.78/24,913.68 = 9,987.76/x
  3. Step 3: Cross multiply
    18,053.78x = 24,913.68 × 9,987.76
  4. Step 4: Simplify right side
    18,053.78x = 248,831,794.38
  5. Step 5: Solve for x
    x = 248,831,794.38/18,053.78
  6. Step 6: Final answer
    x = 13,782.81

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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.