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Finding the Fourth Proportional to 16,823.50, 23,210.85 and 10,859.13

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Solution

The fourth proportional to 16,823.50, 23,210.85 and 10,859.13 is: 14,982.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.50 : 23,210.85 = 10,859.13 : x
  2. Step 2: Convert to fraction form
    16,823.50/23,210.85 = 10,859.13/x
  3. Step 3: Cross multiply
    16,823.50x = 23,210.85 × 10,859.13
  4. Step 4: Simplify right side
    16,823.50x = 252,049,678.28
  5. Step 5: Solve for x
    x = 252,049,678.28/16,823.50
  6. Step 6: Final answer
    x = 14,982.00

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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.