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Finding the Fourth Proportional to 22,854.42, 34,280.82 and 7,058.88

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Solution

The fourth proportional to 22,854.42, 34,280.82 and 7,058.88 is: 10,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.42 : 34,280.82 = 7,058.88 : x
  2. Step 2: Convert to fraction form
    22,854.42/34,280.82 = 7,058.88/x
  3. Step 3: Cross multiply
    22,854.42x = 34,280.82 × 7,058.88
  4. Step 4: Simplify right side
    22,854.42x = 241,984,194.68
  5. Step 5: Solve for x
    x = 241,984,194.68/22,854.42
  6. Step 6: Final answer
    x = 10,588.07

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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.