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Finding the Fourth Proportional to 12,294.16, 16,942.34 and 8,510.31

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Solution

The fourth proportional to 12,294.16, 16,942.34 and 8,510.31 is: 11,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.16 : 16,942.34 = 8,510.31 : x
  2. Step 2: Convert to fraction form
    12,294.16/16,942.34 = 8,510.31/x
  3. Step 3: Cross multiply
    12,294.16x = 16,942.34 × 8,510.31
  4. Step 4: Simplify right side
    12,294.16x = 144,184,565.53
  5. Step 5: Solve for x
    x = 144,184,565.53/12,294.16
  6. Step 6: Final answer
    x = 11,727.89

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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.