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Finding the Fourth Proportional to 10,223.80, 15,314.10 and 9,129.40

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Solution

The fourth proportional to 10,223.80, 15,314.10 and 9,129.40 is: 13,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.80 : 15,314.10 = 9,129.40 : x
  2. Step 2: Convert to fraction form
    10,223.80/15,314.10 = 9,129.40/x
  3. Step 3: Cross multiply
    10,223.80x = 15,314.10 × 9,129.40
  4. Step 4: Simplify right side
    10,223.80x = 139,808,544.54
  5. Step 5: Solve for x
    x = 139,808,544.54/10,223.80
  6. Step 6: Final answer
    x = 13,674.81

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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.