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Finding the Fourth Proportional to 15,071.91, 20,799.74 and 9,102.39

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Solution

The fourth proportional to 15,071.91, 20,799.74 and 9,102.39 is: 12,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071.91 : 20,799.74 = 9,102.39 : x
  2. Step 2: Convert to fraction form
    15,071.91/20,799.74 = 9,102.39/x
  3. Step 3: Cross multiply
    15,071.91x = 20,799.74 × 9,102.39
  4. Step 4: Simplify right side
    15,071.91x = 189,327,345.38
  5. Step 5: Solve for x
    x = 189,327,345.38/15,071.91
  6. Step 6: Final answer
    x = 12,561.60

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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.