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Finding the Fourth Proportional to 28,002.24, 42,001.20 and 7,225.20

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Solution

The fourth proportional to 28,002.24, 42,001.20 and 7,225.20 is: 10,837.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002.24 : 42,001.20 = 7,225.20 : x
  2. Step 2: Convert to fraction form
    28,002.24/42,001.20 = 7,225.20/x
  3. Step 3: Cross multiply
    28,002.24x = 42,001.20 × 7,225.20
  4. Step 4: Simplify right side
    28,002.24x = 303,467,070.24
  5. Step 5: Solve for x
    x = 303,467,070.24/28,002.24
  6. Step 6: Final answer
    x = 10,837.24

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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.