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Finding the Fourth Proportional to 14,437.94, 19,923.51 and 8,469.14

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Solution

The fourth proportional to 14,437.94, 19,923.51 and 8,469.14 is: 11,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437.94 : 19,923.51 = 8,469.14 : x
  2. Step 2: Convert to fraction form
    14,437.94/19,923.51 = 8,469.14/x
  3. Step 3: Cross multiply
    14,437.94x = 19,923.51 × 8,469.14
  4. Step 4: Simplify right side
    14,437.94x = 168,734,895.86
  5. Step 5: Solve for x
    x = 168,734,895.86/14,437.94
  6. Step 6: Final answer
    x = 11,686.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.