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Finding the Fourth Proportional to 14,564.54, 21,844.38 and 5,203.04

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Solution

The fourth proportional to 14,564.54, 21,844.38 and 5,203.04 is: 7,803.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.54 : 21,844.38 = 5,203.04 : x
  2. Step 2: Convert to fraction form
    14,564.54/21,844.38 = 5,203.04/x
  3. Step 3: Cross multiply
    14,564.54x = 21,844.38 × 5,203.04
  4. Step 4: Simplify right side
    14,564.54x = 113,657,182.92
  5. Step 5: Solve for x
    x = 113,657,182.92/14,564.54
  6. Step 6: Final answer
    x = 7,803.69

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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.