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Finding the Fourth Proportional to 14,533.88, 21,796 and 5,648.58

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Solution

The fourth proportional to 14,533.88, 21,796 and 5,648.58 is: 8,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,533.88 : 21,796 = 5,648.58 : x
  2. Step 2: Convert to fraction form
    14,533.88/21,796 = 5,648.58/x
  3. Step 3: Cross multiply
    14,533.88x = 21,796 × 5,648.58
  4. Step 4: Simplify right side
    14,533.88x = 123,116,449.68
  5. Step 5: Solve for x
    x = 123,116,449.68/14,533.88
  6. Step 6: Final answer
    x = 8,471.00

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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.