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Finding the Fourth Proportional to 10,132.23, 13,975.65 and 8,803.65

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Solution

The fourth proportional to 10,132.23, 13,975.65 and 8,803.65 is: 12,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.23 : 13,975.65 = 8,803.65 : x
  2. Step 2: Convert to fraction form
    10,132.23/13,975.65 = 8,803.65/x
  3. Step 3: Cross multiply
    10,132.23x = 13,975.65 × 8,803.65
  4. Step 4: Simplify right side
    10,132.23x = 123,036,731.12
  5. Step 5: Solve for x
    x = 123,036,731.12/10,132.23
  6. Step 6: Final answer
    x = 12,143.10

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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.