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Finding the Fourth Proportional to 12,145.65, 16,736.02 and 9,312.87

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Solution

The fourth proportional to 12,145.65, 16,736.02 and 9,312.87 is: 12,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.65 : 16,736.02 = 9,312.87 : x
  2. Step 2: Convert to fraction form
    12,145.65/16,736.02 = 9,312.87/x
  3. Step 3: Cross multiply
    12,145.65x = 16,736.02 × 9,312.87
  4. Step 4: Simplify right side
    12,145.65x = 155,860,418.06
  5. Step 5: Solve for x
    x = 155,860,418.06/12,145.65
  6. Step 6: Final answer
    x = 12,832.62

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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.