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Finding the Fourth Proportional to 26,684.72, 36,827.16 and 15,506

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Solution

The fourth proportional to 26,684.72, 36,827.16 and 15,506 is: 21,399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,684.72 : 36,827.16 = 15,506 : x
  2. Step 2: Convert to fraction form
    26,684.72/36,827.16 = 15,506/x
  3. Step 3: Cross multiply
    26,684.72x = 36,827.16 × 15,506
  4. Step 4: Simplify right side
    26,684.72x = 571,041,942.96
  5. Step 5: Solve for x
    x = 571,041,942.96/26,684.72
  6. Step 6: Final answer
    x = 21,399.59

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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.