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Finding the Fourth Proportional to 22,176.84, 33,269.28 and 7,384.32

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Solution

The fourth proportional to 22,176.84, 33,269.28 and 7,384.32 is: 11,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.84 : 33,269.28 = 7,384.32 : x
  2. Step 2: Convert to fraction form
    22,176.84/33,269.28 = 7,384.32/x
  3. Step 3: Cross multiply
    22,176.84x = 33,269.28 × 7,384.32
  4. Step 4: Simplify right side
    22,176.84x = 245,671,009.69
  5. Step 5: Solve for x
    x = 245,671,009.69/22,176.84
  6. Step 6: Final answer
    x = 11,077.82

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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.