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Finding the Fourth Proportional to 21,607.22, 32,421.31 and 9,769.17

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Solution

The fourth proportional to 21,607.22, 32,421.31 and 9,769.17 is: 14,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607.22 : 32,421.31 = 9,769.17 : x
  2. Step 2: Convert to fraction form
    21,607.22/32,421.31 = 9,769.17/x
  3. Step 3: Cross multiply
    21,607.22x = 32,421.31 × 9,769.17
  4. Step 4: Simplify right side
    21,607.22x = 316,729,441.12
  5. Step 5: Solve for x
    x = 316,729,441.12/21,607.22
  6. Step 6: Final answer
    x = 14,658.50

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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.