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Finding the Fourth Proportional to 17,670.47, 24,382.89 and 10,953.65

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Solution

The fourth proportional to 17,670.47, 24,382.89 and 10,953.65 is: 15,114.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.47 : 24,382.89 = 10,953.65 : x
  2. Step 2: Convert to fraction form
    17,670.47/24,382.89 = 10,953.65/x
  3. Step 3: Cross multiply
    17,670.47x = 24,382.89 × 10,953.65
  4. Step 4: Simplify right side
    17,670.47x = 267,081,466.37
  5. Step 5: Solve for x
    x = 267,081,466.37/17,670.47
  6. Step 6: Final answer
    x = 15,114.57

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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.