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Finding the Fourth Proportional to 22,657.28, 31,271.51 and 14,475.65

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Solution

The fourth proportional to 22,657.28, 31,271.51 and 14,475.65 is: 19,979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.28 : 31,271.51 = 14,475.65 : x
  2. Step 2: Convert to fraction form
    22,657.28/31,271.51 = 14,475.65/x
  3. Step 3: Cross multiply
    22,657.28x = 31,271.51 × 14,475.65
  4. Step 4: Simplify right side
    22,657.28x = 452,675,313.56
  5. Step 5: Solve for x
    x = 452,675,313.56/22,657.28
  6. Step 6: Final answer
    x = 19,979.25

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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.