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Finding the Fourth Proportional to 13,113.32, 19,659.74 and 8,942.99

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Solution

The fourth proportional to 13,113.32, 19,659.74 and 8,942.99 is: 13,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.32 : 19,659.74 = 8,942.99 : x
  2. Step 2: Convert to fraction form
    13,113.32/19,659.74 = 8,942.99/x
  3. Step 3: Cross multiply
    13,113.32x = 19,659.74 × 8,942.99
  4. Step 4: Simplify right side
    13,113.32x = 175,816,858.22
  5. Step 5: Solve for x
    x = 175,816,858.22/13,113.32
  6. Step 6: Final answer
    x = 13,407.50

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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.