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Finding the Fourth Proportional to 22,835.52, 34,259.36 and 9,688.64

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Solution

The fourth proportional to 22,835.52, 34,259.36 and 9,688.64 is: 14,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.52 : 34,259.36 = 9,688.64 : x
  2. Step 2: Convert to fraction form
    22,835.52/34,259.36 = 9,688.64/x
  3. Step 3: Cross multiply
    22,835.52x = 34,259.36 × 9,688.64
  4. Step 4: Simplify right side
    22,835.52x = 331,926,605.67
  5. Step 5: Solve for x
    x = 331,926,605.67/22,835.52
  6. Step 6: Final answer
    x = 14,535.54

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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.