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Finding the Fourth Proportional to 28,148.22, 42,223.10 and 9,424.77

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Solution

The fourth proportional to 28,148.22, 42,223.10 and 9,424.77 is: 14,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,148.22 : 42,223.10 = 9,424.77 : x
  2. Step 2: Convert to fraction form
    28,148.22/42,223.10 = 9,424.77/x
  3. Step 3: Cross multiply
    28,148.22x = 42,223.10 × 9,424.77
  4. Step 4: Simplify right side
    28,148.22x = 397,942,959.06
  5. Step 5: Solve for x
    x = 397,942,959.06/28,148.22
  6. Step 6: Final answer
    x = 14,137.41

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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.