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Finding the Fourth Proportional to 27,856.88, 41,773.02 and 13,053.84

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Solution

The fourth proportional to 27,856.88, 41,773.02 and 13,053.84 is: 19,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.88 : 41,773.02 = 13,053.84 : x
  2. Step 2: Convert to fraction form
    27,856.88/41,773.02 = 13,053.84/x
  3. Step 3: Cross multiply
    27,856.88x = 41,773.02 × 13,053.84
  4. Step 4: Simplify right side
    27,856.88x = 545,298,319.40
  5. Step 5: Solve for x
    x = 545,298,319.40/27,856.88
  6. Step 6: Final answer
    x = 19,575.00

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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.