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Finding the Fourth Proportional to 12,316.96, 16,987.80 and 10,902.16

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Solution

The fourth proportional to 12,316.96, 16,987.80 and 10,902.16 is: 15,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.96 : 16,987.80 = 10,902.16 : x
  2. Step 2: Convert to fraction form
    12,316.96/16,987.80 = 10,902.16/x
  3. Step 3: Cross multiply
    12,316.96x = 16,987.80 × 10,902.16
  4. Step 4: Simplify right side
    12,316.96x = 185,203,713.65
  5. Step 5: Solve for x
    x = 185,203,713.65/12,316.96
  6. Step 6: Final answer
    x = 15,036.48

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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.