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Finding the Fourth Proportional to 14,569.88, 21,856.43 and 5,335.88

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Solution

The fourth proportional to 14,569.88, 21,856.43 and 5,335.88 is: 8,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.88 : 21,856.43 = 5,335.88 : x
  2. Step 2: Convert to fraction form
    14,569.88/21,856.43 = 5,335.88/x
  3. Step 3: Cross multiply
    14,569.88x = 21,856.43 × 5,335.88
  4. Step 4: Simplify right side
    14,569.88x = 116,623,191.77
  5. Step 5: Solve for x
    x = 116,623,191.77/14,569.88
  6. Step 6: Final answer
    x = 8,004.41

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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.