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Finding the Fourth Proportional to 20,705.76, 31,041.63 and 7,549.74

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Solution

The fourth proportional to 20,705.76, 31,041.63 and 7,549.74 is: 11,318.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.76 : 31,041.63 = 7,549.74 : x
  2. Step 2: Convert to fraction form
    20,705.76/31,041.63 = 7,549.74/x
  3. Step 3: Cross multiply
    20,705.76x = 31,041.63 × 7,549.74
  4. Step 4: Simplify right side
    20,705.76x = 234,356,235.68
  5. Step 5: Solve for x
    x = 234,356,235.68/20,705.76
  6. Step 6: Final answer
    x = 11,318.41

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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.