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Finding the Fourth Proportional to 27,196.08, 40,789.50 and 7,470

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Solution

The fourth proportional to 27,196.08, 40,789.50 and 7,470 is: 11,203.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.08 : 40,789.50 = 7,470 : x
  2. Step 2: Convert to fraction form
    27,196.08/40,789.50 = 7,470/x
  3. Step 3: Cross multiply
    27,196.08x = 40,789.50 × 7,470
  4. Step 4: Simplify right side
    27,196.08x = 304,697,565
  5. Step 5: Solve for x
    x = 304,697,565/27,196.08
  6. Step 6: Final answer
    x = 11,203.73

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