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Finding the Fourth Proportional to 20,526.32, 30,783 and 8,836.40

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Solution

The fourth proportional to 20,526.32, 30,783 and 8,836.40 is: 13,251.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.32 : 30,783 = 8,836.40 : x
  2. Step 2: Convert to fraction form
    20,526.32/30,783 = 8,836.40/x
  3. Step 3: Cross multiply
    20,526.32x = 30,783 × 8,836.40
  4. Step 4: Simplify right side
    20,526.32x = 272,010,901.20
  5. Step 5: Solve for x
    x = 272,010,901.20/20,526.32
  6. Step 6: Final answer
    x = 13,251.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.