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Finding the Fourth Proportional to 22,683.16, 34,017.18 and 9,533.08

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Solution

The fourth proportional to 22,683.16, 34,017.18 and 9,533.08 is: 14,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.16 : 34,017.18 = 9,533.08 : x
  2. Step 2: Convert to fraction form
    22,683.16/34,017.18 = 9,533.08/x
  3. Step 3: Cross multiply
    22,683.16x = 34,017.18 × 9,533.08
  4. Step 4: Simplify right side
    22,683.16x = 324,288,498.31
  5. Step 5: Solve for x
    x = 324,288,498.31/22,683.16
  6. Step 6: Final answer
    x = 14,296.44

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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.