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Finding the Fourth Proportional to 15,152.83, 20,909.41 and 8,438.20

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Solution

The fourth proportional to 15,152.83, 20,909.41 and 8,438.20 is: 11,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.83 : 20,909.41 = 8,438.20 : x
  2. Step 2: Convert to fraction form
    15,152.83/20,909.41 = 8,438.20/x
  3. Step 3: Cross multiply
    15,152.83x = 20,909.41 × 8,438.20
  4. Step 4: Simplify right side
    15,152.83x = 176,437,783.46
  5. Step 5: Solve for x
    x = 176,437,783.46/15,152.83
  6. Step 6: Final answer
    x = 11,643.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.