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Finding the Fourth Proportional to 28,005.24, 42,005.70 and 7,228.20

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Solution

The fourth proportional to 28,005.24, 42,005.70 and 7,228.20 is: 10,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.24 : 42,005.70 = 7,228.20 : x
  2. Step 2: Convert to fraction form
    28,005.24/42,005.70 = 7,228.20/x
  3. Step 3: Cross multiply
    28,005.24x = 42,005.70 × 7,228.20
  4. Step 4: Simplify right side
    28,005.24x = 303,625,600.74
  5. Step 5: Solve for x
    x = 303,625,600.74/28,005.24
  6. Step 6: Final answer
    x = 10,841.74

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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.