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Finding the Fourth Proportional to 12,319.08, 18,466.64 and 9,814.16

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Solution

The fourth proportional to 12,319.08, 18,466.64 and 9,814.16 is: 14,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.08 : 18,466.64 = 9,814.16 : x
  2. Step 2: Convert to fraction form
    12,319.08/18,466.64 = 9,814.16/x
  3. Step 3: Cross multiply
    12,319.08x = 18,466.64 × 9,814.16
  4. Step 4: Simplify right side
    12,319.08x = 181,234,559.62
  5. Step 5: Solve for x
    x = 181,234,559.62/12,319.08
  6. Step 6: Final answer
    x = 14,711.70

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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.