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Finding the Fourth Proportional to 22,814.45, 34,188.86 and 9,648.71

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Solution

The fourth proportional to 22,814.45, 34,188.86 and 9,648.71 is: 14,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.45 : 34,188.86 = 9,648.71 : x
  2. Step 2: Convert to fraction form
    22,814.45/34,188.86 = 9,648.71/x
  3. Step 3: Cross multiply
    22,814.45x = 34,188.86 × 9,648.71
  4. Step 4: Simplify right side
    22,814.45x = 329,878,395.37
  5. Step 5: Solve for x
    x = 329,878,395.37/22,814.45
  6. Step 6: Final answer
    x = 14,459.19

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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.