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Finding the Fourth Proportional to 22,085.76, 30,447.08 and 15,787.20

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Solution

The fourth proportional to 22,085.76, 30,447.08 and 15,787.20 is: 21,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.76 : 30,447.08 = 15,787.20 : x
  2. Step 2: Convert to fraction form
    22,085.76/30,447.08 = 15,787.20/x
  3. Step 3: Cross multiply
    22,085.76x = 30,447.08 × 15,787.20
  4. Step 4: Simplify right side
    22,085.76x = 480,674,141.38
  5. Step 5: Solve for x
    x = 480,674,141.38/22,085.76
  6. Step 6: Final answer
    x = 21,763.98

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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.