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Finding the Fourth Proportional to 20,985.78, 28,972.38 and 13,836.47

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Solution

The fourth proportional to 20,985.78, 28,972.38 and 13,836.47 is: 19,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.78 : 28,972.38 = 13,836.47 : x
  2. Step 2: Convert to fraction form
    20,985.78/28,972.38 = 13,836.47/x
  3. Step 3: Cross multiply
    20,985.78x = 28,972.38 × 13,836.47
  4. Step 4: Simplify right side
    20,985.78x = 400,875,536.69
  5. Step 5: Solve for x
    x = 400,875,536.69/20,985.78
  6. Step 6: Final answer
    x = 19,102.24

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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.