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Finding the Fourth Proportional to 17,807.90, 24,574.19 and 10,254.50

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Solution

The fourth proportional to 17,807.90, 24,574.19 and 10,254.50 is: 14,150.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.90 : 24,574.19 = 10,254.50 : x
  2. Step 2: Convert to fraction form
    17,807.90/24,574.19 = 10,254.50/x
  3. Step 3: Cross multiply
    17,807.90x = 24,574.19 × 10,254.50
  4. Step 4: Simplify right side
    17,807.90x = 251,995,949.36
  5. Step 5: Solve for x
    x = 251,995,949.36/17,807.90
  6. Step 6: Final answer
    x = 14,150.79

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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.