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Finding the Fourth Proportional to 31,514.47, 43,490.88 and 17,368.23

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Solution

The fourth proportional to 31,514.47, 43,490.88 and 17,368.23 is: 23,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.47 : 43,490.88 = 17,368.23 : x
  2. Step 2: Convert to fraction form
    31,514.47/43,490.88 = 17,368.23/x
  3. Step 3: Cross multiply
    31,514.47x = 43,490.88 × 17,368.23
  4. Step 4: Simplify right side
    31,514.47x = 755,359,389.29
  5. Step 5: Solve for x
    x = 755,359,389.29/31,514.47
  6. Step 6: Final answer
    x = 23,968.65

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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.