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Finding the Fourth Proportional to 13,111.32, 19,656.74 and 8,940.99

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Solution

The fourth proportional to 13,111.32, 19,656.74 and 8,940.99 is: 13,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.32 : 19,656.74 = 8,940.99 : x
  2. Step 2: Convert to fraction form
    13,111.32/19,656.74 = 8,940.99/x
  3. Step 3: Cross multiply
    13,111.32x = 19,656.74 × 8,940.99
  4. Step 4: Simplify right side
    13,111.32x = 175,750,738.13
  5. Step 5: Solve for x
    x = 175,750,738.13/13,111.32
  6. Step 6: Final answer
    x = 13,404.50

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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.