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Finding the Fourth Proportional to 17,098.98, 23,594.13 and 10,384.89

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Solution

The fourth proportional to 17,098.98, 23,594.13 and 10,384.89 is: 14,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.98 : 23,594.13 = 10,384.89 : x
  2. Step 2: Convert to fraction form
    17,098.98/23,594.13 = 10,384.89/x
  3. Step 3: Cross multiply
    17,098.98x = 23,594.13 × 10,384.89
  4. Step 4: Simplify right side
    17,098.98x = 245,022,444.70
  5. Step 5: Solve for x
    x = 245,022,444.70/17,098.98
  6. Step 6: Final answer
    x = 14,329.65

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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.