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Finding the Fourth Proportional to 21,175.49, 31,756.72 and 14,643.65

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Solution

The fourth proportional to 21,175.49, 31,756.72 and 14,643.65 is: 21,960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175.49 : 31,756.72 = 14,643.65 : x
  2. Step 2: Convert to fraction form
    21,175.49/31,756.72 = 14,643.65/x
  3. Step 3: Cross multiply
    21,175.49x = 31,756.72 × 14,643.65
  4. Step 4: Simplify right side
    21,175.49x = 465,034,292.83
  5. Step 5: Solve for x
    x = 465,034,292.83/21,175.49
  6. Step 6: Final answer
    x = 21,960.97

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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.