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Finding the Fourth Proportional to 16,870.67, 25,267.94 and 9,840.14

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Solution

The fourth proportional to 16,870.67, 25,267.94 and 9,840.14 is: 14,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.67 : 25,267.94 = 9,840.14 : x
  2. Step 2: Convert to fraction form
    16,870.67/25,267.94 = 9,840.14/x
  3. Step 3: Cross multiply
    16,870.67x = 25,267.94 × 9,840.14
  4. Step 4: Simplify right side
    16,870.67x = 248,639,891.57
  5. Step 5: Solve for x
    x = 248,639,891.57/16,870.67
  6. Step 6: Final answer
    x = 14,738.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.