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Finding the Fourth Proportional to 26,580.38, 36,679.61 and 14,643.40

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Solution

The fourth proportional to 26,580.38, 36,679.61 and 14,643.40 is: 20,207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580.38 : 36,679.61 = 14,643.40 : x
  2. Step 2: Convert to fraction form
    26,580.38/36,679.61 = 14,643.40/x
  3. Step 3: Cross multiply
    26,580.38x = 36,679.61 × 14,643.40
  4. Step 4: Simplify right side
    26,580.38x = 537,114,201.07
  5. Step 5: Solve for x
    x = 537,114,201.07/26,580.38
  6. Step 6: Final answer
    x = 20,207.17

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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.