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Finding the Fourth Proportional to 13,102.59, 19,616.98 and 11,773.99

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Solution

The fourth proportional to 13,102.59, 19,616.98 and 11,773.99 is: 17,627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.59 : 19,616.98 = 11,773.99 : x
  2. Step 2: Convert to fraction form
    13,102.59/19,616.98 = 11,773.99/x
  3. Step 3: Cross multiply
    13,102.59x = 19,616.98 × 11,773.99
  4. Step 4: Simplify right side
    13,102.59x = 230,970,066.26
  5. Step 5: Solve for x
    x = 230,970,066.26/13,102.59
  6. Step 6: Final answer
    x = 17,627.82

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1.5x scale

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.