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Finding the Fourth Proportional to 15,235.26, 22,831.46 and 7,221.52

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Solution

The fourth proportional to 15,235.26, 22,831.46 and 7,221.52 is: 10,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.26 : 22,831.46 = 7,221.52 : x
  2. Step 2: Convert to fraction form
    15,235.26/22,831.46 = 7,221.52/x
  3. Step 3: Cross multiply
    15,235.26x = 22,831.46 × 7,221.52
  4. Step 4: Simplify right side
    15,235.26x = 164,877,845.02
  5. Step 5: Solve for x
    x = 164,877,845.02/15,235.26
  6. Step 6: Final answer
    x = 10,822.12

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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.