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Finding the Fourth Proportional to 16,853.65, 23,257.85 and 9,300.13

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Solution

The fourth proportional to 16,853.65, 23,257.85 and 9,300.13 is: 12,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.65 : 23,257.85 = 9,300.13 : x
  2. Step 2: Convert to fraction form
    16,853.65/23,257.85 = 9,300.13/x
  3. Step 3: Cross multiply
    16,853.65x = 23,257.85 × 9,300.13
  4. Step 4: Simplify right side
    16,853.65x = 216,300,993.63
  5. Step 5: Solve for x
    x = 216,300,993.63/16,853.65
  6. Step 6: Final answer
    x = 12,834.08

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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.