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Finding the Fourth Proportional to 20,098.10, 30,117.45 and 14,563.10

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Solution

The fourth proportional to 20,098.10, 30,117.45 and 14,563.10 is: 21,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,098.10 : 30,117.45 = 14,563.10 : x
  2. Step 2: Convert to fraction form
    20,098.10/30,117.45 = 14,563.10/x
  3. Step 3: Cross multiply
    20,098.10x = 30,117.45 × 14,563.10
  4. Step 4: Simplify right side
    20,098.10x = 438,603,436.10
  5. Step 5: Solve for x
    x = 438,603,436.10/20,098.10
  6. Step 6: Final answer
    x = 21,823.13

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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.