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Finding the Fourth Proportional to 21,886.60, 30,160.74 and 20,409.16

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Solution

The fourth proportional to 21,886.60, 30,160.74 and 20,409.16 is: 28,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.60 : 30,160.74 = 20,409.16 : x
  2. Step 2: Convert to fraction form
    21,886.60/30,160.74 = 20,409.16/x
  3. Step 3: Cross multiply
    21,886.60x = 30,160.74 × 20,409.16
  4. Step 4: Simplify right side
    21,886.60x = 615,555,368.38
  5. Step 5: Solve for x
    x = 615,555,368.38/21,886.60
  6. Step 6: Final answer
    x = 28,124.76

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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.