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Finding the Fourth Proportional to 22,002.84, 33,005.40 and 6,421.68

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Solution

The fourth proportional to 22,002.84, 33,005.40 and 6,421.68 is: 9,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.84 : 33,005.40 = 6,421.68 : x
  2. Step 2: Convert to fraction form
    22,002.84/33,005.40 = 6,421.68/x
  3. Step 3: Cross multiply
    22,002.84x = 33,005.40 × 6,421.68
  4. Step 4: Simplify right side
    22,002.84x = 211,950,117.07
  5. Step 5: Solve for x
    x = 211,950,117.07/22,002.84
  6. Step 6: Final answer
    x = 9,632.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.