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Finding the Fourth Proportional to 26,646.54, 39,985.65 and 11,856.30

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Solution

The fourth proportional to 26,646.54, 39,985.65 and 11,856.30 is: 17,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,646.54 : 39,985.65 = 11,856.30 : x
  2. Step 2: Convert to fraction form
    26,646.54/39,985.65 = 11,856.30/x
  3. Step 3: Cross multiply
    26,646.54x = 39,985.65 × 11,856.30
  4. Step 4: Simplify right side
    26,646.54x = 474,081,862.10
  5. Step 5: Solve for x
    x = 474,081,862.10/26,646.54
  6. Step 6: Final answer
    x = 17,791.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.