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Finding the Fourth Proportional to 17,578.95, 24,260.58 and 10,505.22

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Solution

The fourth proportional to 17,578.95, 24,260.58 and 10,505.22 is: 14,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.95 : 24,260.58 = 10,505.22 : x
  2. Step 2: Convert to fraction form
    17,578.95/24,260.58 = 10,505.22/x
  3. Step 3: Cross multiply
    17,578.95x = 24,260.58 × 10,505.22
  4. Step 4: Simplify right side
    17,578.95x = 254,862,730.23
  5. Step 5: Solve for x
    x = 254,862,730.23/17,578.95
  6. Step 6: Final answer
    x = 14,498.18

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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.