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Finding the Fourth Proportional to 13,506.30, 20,259.45 and 10,225.80

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Solution

The fourth proportional to 13,506.30, 20,259.45 and 10,225.80 is: 15,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.30 : 20,259.45 = 10,225.80 : x
  2. Step 2: Convert to fraction form
    13,506.30/20,259.45 = 10,225.80/x
  3. Step 3: Cross multiply
    13,506.30x = 20,259.45 × 10,225.80
  4. Step 4: Simplify right side
    13,506.30x = 207,169,083.81
  5. Step 5: Solve for x
    x = 207,169,083.81/13,506.30
  6. Step 6: Final answer
    x = 15,338.70

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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.