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Finding the Fourth Proportional to 13,114.01, 18,097.10 and 7,145.73

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Solution

The fourth proportional to 13,114.01, 18,097.10 and 7,145.73 is: 9,860.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.01 : 18,097.10 = 7,145.73 : x
  2. Step 2: Convert to fraction form
    13,114.01/18,097.10 = 7,145.73/x
  3. Step 3: Cross multiply
    13,114.01x = 18,097.10 × 7,145.73
  4. Step 4: Simplify right side
    13,114.01x = 129,316,990.38
  5. Step 5: Solve for x
    x = 129,316,990.38/13,114.01
  6. Step 6: Final answer
    x = 9,860.98

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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.