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Finding the Fourth Proportional to 22,095.76, 30,506.16 and 13,717.12

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Solution

The fourth proportional to 22,095.76, 30,506.16 and 13,717.12 is: 18,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,095.76 : 30,506.16 = 13,717.12 : x
  2. Step 2: Convert to fraction form
    22,095.76/30,506.16 = 13,717.12/x
  3. Step 3: Cross multiply
    22,095.76x = 30,506.16 × 13,717.12
  4. Step 4: Simplify right side
    22,095.76x = 418,456,657.46
  5. Step 5: Solve for x
    x = 418,456,657.46/22,095.76
  6. Step 6: Final answer
    x = 18,938.32

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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.