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Finding the Fourth Proportional to 15,146.33, 20,898.14 and 9,097.58

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Solution

The fourth proportional to 15,146.33, 20,898.14 and 9,097.58 is: 12,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.33 : 20,898.14 = 9,097.58 : x
  2. Step 2: Convert to fraction form
    15,146.33/20,898.14 = 9,097.58/x
  3. Step 3: Cross multiply
    15,146.33x = 20,898.14 × 9,097.58
  4. Step 4: Simplify right side
    15,146.33x = 190,122,507.26
  5. Step 5: Solve for x
    x = 190,122,507.26/15,146.33
  6. Step 6: Final answer
    x = 12,552.39

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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.