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Finding the Fourth Proportional to 17,875.46, 24,669.24 and 10,323.20

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Solution

The fourth proportional to 17,875.46, 24,669.24 and 10,323.20 is: 14,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.46 : 24,669.24 = 10,323.20 : x
  2. Step 2: Convert to fraction form
    17,875.46/24,669.24 = 10,323.20/x
  3. Step 3: Cross multiply
    17,875.46x = 24,669.24 × 10,323.20
  4. Step 4: Simplify right side
    17,875.46x = 254,665,498.37
  5. Step 5: Solve for x
    x = 254,665,498.37/17,875.46
  6. Step 6: Final answer
    x = 14,246.65

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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.