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Finding the Fourth Proportional to 20,719.18, 31,086.06 and 9,030.88

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Solution

The fourth proportional to 20,719.18, 31,086.06 and 9,030.88 is: 13,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.18 : 31,086.06 = 9,030.88 : x
  2. Step 2: Convert to fraction form
    20,719.18/31,086.06 = 9,030.88/x
  3. Step 3: Cross multiply
    20,719.18x = 31,086.06 × 9,030.88
  4. Step 4: Simplify right side
    20,719.18x = 280,734,477.53
  5. Step 5: Solve for x
    x = 280,734,477.53/20,719.18
  6. Step 6: Final answer
    x = 13,549.50

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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.