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Finding the Fourth Proportional to 14,402.70, 19,875.38 and 8,029.26

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Solution

The fourth proportional to 14,402.70, 19,875.38 and 8,029.26 is: 11,080.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.70 : 19,875.38 = 8,029.26 : x
  2. Step 2: Convert to fraction form
    14,402.70/19,875.38 = 8,029.26/x
  3. Step 3: Cross multiply
    14,402.70x = 19,875.38 × 8,029.26
  4. Step 4: Simplify right side
    14,402.70x = 159,584,553.47
  5. Step 5: Solve for x
    x = 159,584,553.47/14,402.70
  6. Step 6: Final answer
    x = 11,080.18

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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.