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Finding the Fourth Proportional to 17,823.50, 24,602.92 and 10,371.50

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Solution

The fourth proportional to 17,823.50, 24,602.92 and 10,371.50 is: 14,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.50 : 24,602.92 = 10,371.50 : x
  2. Step 2: Convert to fraction form
    17,823.50/24,602.92 = 10,371.50/x
  3. Step 3: Cross multiply
    17,823.50x = 24,602.92 × 10,371.50
  4. Step 4: Simplify right side
    17,823.50x = 255,169,184.78
  5. Step 5: Solve for x
    x = 255,169,184.78/17,823.50
  6. Step 6: Final answer
    x = 14,316.45

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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.