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Finding the Fourth Proportional to 15,071.74, 22,572.06 and 7,657.81

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Solution

The fourth proportional to 15,071.74, 22,572.06 and 7,657.81 is: 11,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071.74 : 22,572.06 = 7,657.81 : x
  2. Step 2: Convert to fraction form
    15,071.74/22,572.06 = 7,657.81/x
  3. Step 3: Cross multiply
    15,071.74x = 22,572.06 × 7,657.81
  4. Step 4: Simplify right side
    15,071.74x = 172,852,546.79
  5. Step 5: Solve for x
    x = 172,852,546.79/15,071.74
  6. Step 6: Final answer
    x = 11,468.65

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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.