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Finding the Fourth Proportional to 28,227.60, 42,341.40 and 8,509.20

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Solution

The fourth proportional to 28,227.60, 42,341.40 and 8,509.20 is: 12,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,227.60 : 42,341.40 = 8,509.20 : x
  2. Step 2: Convert to fraction form
    28,227.60/42,341.40 = 8,509.20/x
  3. Step 3: Cross multiply
    28,227.60x = 42,341.40 × 8,509.20
  4. Step 4: Simplify right side
    28,227.60x = 360,291,440.88
  5. Step 5: Solve for x
    x = 360,291,440.88/28,227.60
  6. Step 6: Final answer
    x = 12,763.80

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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.