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Finding the Fourth Proportional to 10,443.51, 14,332.14 and 10,369.71

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Solution

The fourth proportional to 10,443.51, 14,332.14 and 10,369.71 is: 14,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.51 : 14,332.14 = 10,369.71 : x
  2. Step 2: Convert to fraction form
    10,443.51/14,332.14 = 10,369.71/x
  3. Step 3: Cross multiply
    10,443.51x = 14,332.14 × 10,369.71
  4. Step 4: Simplify right side
    10,443.51x = 148,620,135.48
  5. Step 5: Solve for x
    x = 148,620,135.48/10,443.51
  6. Step 6: Final answer
    x = 14,230.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.