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Finding the Fourth Proportional to 17,200.78, 23,704.93 and 13,417.95

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Solution

The fourth proportional to 17,200.78, 23,704.93 and 13,417.95 is: 18,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.78 : 23,704.93 = 13,417.95 : x
  2. Step 2: Convert to fraction form
    17,200.78/23,704.93 = 13,417.95/x
  3. Step 3: Cross multiply
    17,200.78x = 23,704.93 × 13,417.95
  4. Step 4: Simplify right side
    17,200.78x = 318,071,565.49
  5. Step 5: Solve for x
    x = 318,071,565.49/17,200.78
  6. Step 6: Final answer
    x = 18,491.69

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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.