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Finding the Fourth Proportional to 21,148.65, 29,187.74 and 12,196.16

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Solution

The fourth proportional to 21,148.65, 29,187.74 and 12,196.16 is: 16,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.65 : 29,187.74 = 12,196.16 : x
  2. Step 2: Convert to fraction form
    21,148.65/29,187.74 = 12,196.16/x
  3. Step 3: Cross multiply
    21,148.65x = 29,187.74 × 12,196.16
  4. Step 4: Simplify right side
    21,148.65x = 355,978,176.68
  5. Step 5: Solve for x
    x = 355,978,176.68/21,148.65
  6. Step 6: Final answer
    x = 16,832.19

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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.