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Finding the Fourth Proportional to 22,969.37, 31,717.68 and 14,486.65

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Solution

The fourth proportional to 22,969.37, 31,717.68 and 14,486.65 is: 20,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.37 : 31,717.68 = 14,486.65 : x
  2. Step 2: Convert to fraction form
    22,969.37/31,717.68 = 14,486.65/x
  3. Step 3: Cross multiply
    22,969.37x = 31,717.68 × 14,486.65
  4. Step 4: Simplify right side
    22,969.37x = 459,482,795.35
  5. Step 5: Solve for x
    x = 459,482,795.35/22,969.37
  6. Step 6: Final answer
    x = 20,004.15

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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.