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Finding the Fourth Proportional to 17,970.69, 24,798.02 and 10,417.44

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Solution

The fourth proportional to 17,970.69, 24,798.02 and 10,417.44 is: 14,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.69 : 24,798.02 = 10,417.44 : x
  2. Step 2: Convert to fraction form
    17,970.69/24,798.02 = 10,417.44/x
  3. Step 3: Cross multiply
    17,970.69x = 24,798.02 × 10,417.44
  4. Step 4: Simplify right side
    17,970.69x = 258,331,805.04
  5. Step 5: Solve for x
    x = 258,331,805.04/17,970.69
  6. Step 6: Final answer
    x = 14,375.18

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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.