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Finding the Fourth Proportional to 14,417.52, 19,896.75 and 8,129.76

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Solution

The fourth proportional to 14,417.52, 19,896.75 and 8,129.76 is: 11,219.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.52 : 19,896.75 = 8,129.76 : x
  2. Step 2: Convert to fraction form
    14,417.52/19,896.75 = 8,129.76/x
  3. Step 3: Cross multiply
    14,417.52x = 19,896.75 × 8,129.76
  4. Step 4: Simplify right side
    14,417.52x = 161,755,802.28
  5. Step 5: Solve for x
    x = 161,755,802.28/14,417.52
  6. Step 6: Final answer
    x = 11,219.39

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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.