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Finding the Fourth Proportional to 10,923.66, 16,359.98 and 10,041.57

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Solution

The fourth proportional to 10,923.66, 16,359.98 and 10,041.57 is: 15,038.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.66 : 16,359.98 = 10,041.57 : x
  2. Step 2: Convert to fraction form
    10,923.66/16,359.98 = 10,041.57/x
  3. Step 3: Cross multiply
    10,923.66x = 16,359.98 × 10,041.57
  4. Step 4: Simplify right side
    10,923.66x = 164,279,834.16
  5. Step 5: Solve for x
    x = 164,279,834.16/10,923.66
  6. Step 6: Final answer
    x = 15,038.90

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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.