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Finding the Fourth Proportional to 15,775.20, 23,662.80 and 6,559.20

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Solution

The fourth proportional to 15,775.20, 23,662.80 and 6,559.20 is: 9,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.20 : 23,662.80 = 6,559.20 : x
  2. Step 2: Convert to fraction form
    15,775.20/23,662.80 = 6,559.20/x
  3. Step 3: Cross multiply
    15,775.20x = 23,662.80 × 6,559.20
  4. Step 4: Simplify right side
    15,775.20x = 155,209,037.76
  5. Step 5: Solve for x
    x = 155,209,037.76/15,775.20
  6. Step 6: Final answer
    x = 9,838.80

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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.