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Finding the Fourth Proportional to 20,042.76, 30,071.04 and 8,957.10

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Solution

The fourth proportional to 20,042.76, 30,071.04 and 8,957.10 is: 13,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,042.76 : 30,071.04 = 8,957.10 : x
  2. Step 2: Convert to fraction form
    20,042.76/30,071.04 = 8,957.10/x
  3. Step 3: Cross multiply
    20,042.76x = 30,071.04 × 8,957.10
  4. Step 4: Simplify right side
    20,042.76x = 269,349,312.38
  5. Step 5: Solve for x
    x = 269,349,312.38/20,042.76
  6. Step 6: Final answer
    x = 13,438.73

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1.5x scale

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.