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Finding the Fourth Proportional to 21,848.91, 32,775.47 and 8,698.20

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Solution

The fourth proportional to 21,848.91, 32,775.47 and 8,698.20 is: 13,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848.91 : 32,775.47 = 8,698.20 : x
  2. Step 2: Convert to fraction form
    21,848.91/32,775.47 = 8,698.20/x
  3. Step 3: Cross multiply
    21,848.91x = 32,775.47 × 8,698.20
  4. Step 4: Simplify right side
    21,848.91x = 285,087,593.15
  5. Step 5: Solve for x
    x = 285,087,593.15/21,848.91
  6. Step 6: Final answer
    x = 13,048.14

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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.