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Finding the Fourth Proportional to 14,598, 21,891.84 and 5,830.56

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Solution

The fourth proportional to 14,598, 21,891.84 and 5,830.56 is: 8,743.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598 : 21,891.84 = 5,830.56 : x
  2. Step 2: Convert to fraction form
    14,598/21,891.84 = 5,830.56/x
  3. Step 3: Cross multiply
    14,598x = 21,891.84 × 5,830.56
  4. Step 4: Simplify right side
    14,598x = 127,641,686.63
  5. Step 5: Solve for x
    x = 127,641,686.63/14,598
  6. Step 6: Final answer
    x = 8,743.78

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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.