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Finding the Fourth Proportional to 28,224.47, 42,321.57 and 9,498.29

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Solution

The fourth proportional to 28,224.47, 42,321.57 and 9,498.29 is: 14,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.47 : 42,321.57 = 9,498.29 : x
  2. Step 2: Convert to fraction form
    28,224.47/42,321.57 = 9,498.29/x
  3. Step 3: Cross multiply
    28,224.47x = 42,321.57 × 9,498.29
  4. Step 4: Simplify right side
    28,224.47x = 401,982,333.51
  5. Step 5: Solve for x
    x = 401,982,333.51/28,224.47
  6. Step 6: Final answer
    x = 14,242.34

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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.