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Finding the Fourth Proportional to 15,082.04, 20,810.16 and 9,776.12

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Solution

The fourth proportional to 15,082.04, 20,810.16 and 9,776.12 is: 13,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.04 : 20,810.16 = 9,776.12 : x
  2. Step 2: Convert to fraction form
    15,082.04/20,810.16 = 9,776.12/x
  3. Step 3: Cross multiply
    15,082.04x = 20,810.16 × 9,776.12
  4. Step 4: Simplify right side
    15,082.04x = 203,442,621.38
  5. Step 5: Solve for x
    x = 203,442,621.38/15,082.04
  6. Step 6: Final answer
    x = 13,489.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.