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Finding the Fourth Proportional to 23,223.87, 32,048.94 and 12,613.50

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Solution

The fourth proportional to 23,223.87, 32,048.94 and 12,613.50 is: 17,406.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.87 : 32,048.94 = 12,613.50 : x
  2. Step 2: Convert to fraction form
    23,223.87/32,048.94 = 12,613.50/x
  3. Step 3: Cross multiply
    23,223.87x = 32,048.94 × 12,613.50
  4. Step 4: Simplify right side
    23,223.87x = 404,249,304.69
  5. Step 5: Solve for x
    x = 404,249,304.69/23,223.87
  6. Step 6: Final answer
    x = 17,406.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.