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Finding the Fourth Proportional to 12,234.72, 16,853.04 and 9,870.24

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Solution

The fourth proportional to 12,234.72, 16,853.04 and 9,870.24 is: 13,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.72 : 16,853.04 = 9,870.24 : x
  2. Step 2: Convert to fraction form
    12,234.72/16,853.04 = 9,870.24/x
  3. Step 3: Cross multiply
    12,234.72x = 16,853.04 × 9,870.24
  4. Step 4: Simplify right side
    12,234.72x = 166,343,549.53
  5. Step 5: Solve for x
    x = 166,343,549.53/12,234.72
  6. Step 6: Final answer
    x = 13,596.02

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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.