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Finding the Fourth Proportional to 22,582.30, 33,878.40 and 7,588.88

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Solution

The fourth proportional to 22,582.30, 33,878.40 and 7,588.88 is: 11,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,582.30 : 33,878.40 = 7,588.88 : x
  2. Step 2: Convert to fraction form
    22,582.30/33,878.40 = 7,588.88/x
  3. Step 3: Cross multiply
    22,582.30x = 33,878.40 × 7,588.88
  4. Step 4: Simplify right side
    22,582.30x = 257,099,112.19
  5. Step 5: Solve for x
    x = 257,099,112.19/22,582.30
  6. Step 6: Final answer
    x = 11,384.98

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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.