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Finding the Fourth Proportional to 19,854.50, 27,404.16 and 11,475.86

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Solution

The fourth proportional to 19,854.50, 27,404.16 and 11,475.86 is: 15,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.50 : 27,404.16 = 11,475.86 : x
  2. Step 2: Convert to fraction form
    19,854.50/27,404.16 = 11,475.86/x
  3. Step 3: Cross multiply
    19,854.50x = 27,404.16 × 11,475.86
  4. Step 4: Simplify right side
    19,854.50x = 314,486,303.58
  5. Step 5: Solve for x
    x = 314,486,303.58/19,854.50
  6. Step 6: Final answer
    x = 15,839.55

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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.