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Finding the Fourth Proportional to 15,307.14, 22,912.98 and 11,788.02

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Solution

The fourth proportional to 15,307.14, 22,912.98 and 11,788.02 is: 17,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.14 : 22,912.98 = 11,788.02 : x
  2. Step 2: Convert to fraction form
    15,307.14/22,912.98 = 11,788.02/x
  3. Step 3: Cross multiply
    15,307.14x = 22,912.98 × 11,788.02
  4. Step 4: Simplify right side
    15,307.14x = 270,098,666.50
  5. Step 5: Solve for x
    x = 270,098,666.50/15,307.14
  6. Step 6: Final answer
    x = 17,645.27

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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.