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Finding the Fourth Proportional to 14,399, 21,600.48 and 5,037.64

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Solution

The fourth proportional to 14,399, 21,600.48 and 5,037.64 is: 7,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399 : 21,600.48 = 5,037.64 : x
  2. Step 2: Convert to fraction form
    14,399/21,600.48 = 5,037.64/x
  3. Step 3: Cross multiply
    14,399x = 21,600.48 × 5,037.64
  4. Step 4: Simplify right side
    14,399x = 108,815,442.07
  5. Step 5: Solve for x
    x = 108,815,442.07/14,399
  6. Step 6: Final answer
    x = 7,557.15

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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.