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Finding the Fourth Proportional to 34,813.23, 52,220.13 and 9,854.10

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Solution

The fourth proportional to 34,813.23, 52,220.13 and 9,854.10 is: 14,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,813.23 : 52,220.13 = 9,854.10 : x
  2. Step 2: Convert to fraction form
    34,813.23/52,220.13 = 9,854.10/x
  3. Step 3: Cross multiply
    34,813.23x = 52,220.13 × 9,854.10
  4. Step 4: Simplify right side
    34,813.23x = 514,582,383.03
  5. Step 5: Solve for x
    x = 514,582,383.03/34,813.23
  6. Step 6: Final answer
    x = 14,781.23

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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.