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Finding the Fourth Proportional to 23,164.40, 34,743.36 and 7,580

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Solution

The fourth proportional to 23,164.40, 34,743.36 and 7,580 is: 11,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.40 : 34,743.36 = 7,580 : x
  2. Step 2: Convert to fraction form
    23,164.40/34,743.36 = 7,580/x
  3. Step 3: Cross multiply
    23,164.40x = 34,743.36 × 7,580
  4. Step 4: Simplify right side
    23,164.40x = 263,354,668.80
  5. Step 5: Solve for x
    x = 263,354,668.80/23,164.40
  6. Step 6: Final answer
    x = 11,368.94

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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.