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Finding the Fourth Proportional to 14,563, 21,838.95 and 5,201.27

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Solution

The fourth proportional to 14,563, 21,838.95 and 5,201.27 is: 7,799.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563 : 21,838.95 = 5,201.27 : x
  2. Step 2: Convert to fraction form
    14,563/21,838.95 = 5,201.27/x
  3. Step 3: Cross multiply
    14,563x = 21,838.95 × 5,201.27
  4. Step 4: Simplify right side
    14,563x = 113,590,275.47
  5. Step 5: Solve for x
    x = 113,590,275.47/14,563
  6. Step 6: Final answer
    x = 7,799.92

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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.