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Finding the Fourth Proportional to 22,402.04, 33,606.68 and 6,816

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Solution

The fourth proportional to 22,402.04, 33,606.68 and 6,816 is: 10,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,402.04 : 33,606.68 = 6,816 : x
  2. Step 2: Convert to fraction form
    22,402.04/33,606.68 = 6,816/x
  3. Step 3: Cross multiply
    22,402.04x = 33,606.68 × 6,816
  4. Step 4: Simplify right side
    22,402.04x = 229,063,130.88
  5. Step 5: Solve for x
    x = 229,063,130.88/22,402.04
  6. Step 6: Final answer
    x = 10,225.10

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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.