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Finding the Fourth Proportional to 14,422.78, 21,624.87 and 5,658.58

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Solution

The fourth proportional to 14,422.78, 21,624.87 and 5,658.58 is: 8,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.78 : 21,624.87 = 5,658.58 : x
  2. Step 2: Convert to fraction form
    14,422.78/21,624.87 = 5,658.58/x
  3. Step 3: Cross multiply
    14,422.78x = 21,624.87 × 5,658.58
  4. Step 4: Simplify right side
    14,422.78x = 122,366,056.88
  5. Step 5: Solve for x
    x = 122,366,056.88/14,422.78
  6. Step 6: Final answer
    x = 8,484.22

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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.