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Finding the Fourth Proportional to 17,643.74, 24,348.93 and 10,191.74

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Solution

The fourth proportional to 17,643.74, 24,348.93 and 10,191.74 is: 14,064.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.74 : 24,348.93 = 10,191.74 : x
  2. Step 2: Convert to fraction form
    17,643.74/24,348.93 = 10,191.74/x
  3. Step 3: Cross multiply
    17,643.74x = 24,348.93 × 10,191.74
  4. Step 4: Simplify right side
    17,643.74x = 248,157,963.84
  5. Step 5: Solve for x
    x = 248,157,963.84/17,643.74
  6. Step 6: Final answer
    x = 14,064.93

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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.