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Finding the Fourth Proportional to 23,064.75, 34,597.13 and 9,223.47

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Solution

The fourth proportional to 23,064.75, 34,597.13 and 9,223.47 is: 13,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.75 : 34,597.13 = 9,223.47 : x
  2. Step 2: Convert to fraction form
    23,064.75/34,597.13 = 9,223.47/x
  3. Step 3: Cross multiply
    23,064.75x = 34,597.13 × 9,223.47
  4. Step 4: Simplify right side
    23,064.75x = 319,105,544.52
  5. Step 5: Solve for x
    x = 319,105,544.52/23,064.75
  6. Step 6: Final answer
    x = 13,835.21

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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.