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Finding the Fourth Proportional to 14,008.32, 19,334.34 and 8,044.02

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Solution

The fourth proportional to 14,008.32, 19,334.34 and 8,044.02 is: 11,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,008.32 : 19,334.34 = 8,044.02 : x
  2. Step 2: Convert to fraction form
    14,008.32/19,334.34 = 8,044.02/x
  3. Step 3: Cross multiply
    14,008.32x = 19,334.34 × 8,044.02
  4. Step 4: Simplify right side
    14,008.32x = 155,525,817.65
  5. Step 5: Solve for x
    x = 155,525,817.65/14,008.32
  6. Step 6: Final answer
    x = 11,102.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.