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Finding the Fourth Proportional to 22,304.08, 33,457.38 and 9,829.96

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Solution

The fourth proportional to 22,304.08, 33,457.38 and 9,829.96 is: 14,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.08 : 33,457.38 = 9,829.96 : x
  2. Step 2: Convert to fraction form
    22,304.08/33,457.38 = 9,829.96/x
  3. Step 3: Cross multiply
    22,304.08x = 33,457.38 × 9,829.96
  4. Step 4: Simplify right side
    22,304.08x = 328,884,707.10
  5. Step 5: Solve for x
    x = 328,884,707.10/22,304.08
  6. Step 6: Final answer
    x = 14,745.50

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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.