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Finding the Fourth Proportional to 22,280.96, 33,430.08 and 9,139.52

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Solution

The fourth proportional to 22,280.96, 33,430.08 and 9,139.52 is: 13,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.96 : 33,430.08 = 9,139.52 : x
  2. Step 2: Convert to fraction form
    22,280.96/33,430.08 = 9,139.52/x
  3. Step 3: Cross multiply
    22,280.96x = 33,430.08 × 9,139.52
  4. Step 4: Simplify right side
    22,280.96x = 305,534,884.76
  5. Step 5: Solve for x
    x = 305,534,884.76/22,280.96
  6. Step 6: Final answer
    x = 13,712.82

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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.