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Finding the Fourth Proportional to 19,212.38, 28,831.53 and 7,524.14

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Solution

The fourth proportional to 19,212.38, 28,831.53 and 7,524.14 is: 11,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212.38 : 28,831.53 = 7,524.14 : x
  2. Step 2: Convert to fraction form
    19,212.38/28,831.53 = 7,524.14/x
  3. Step 3: Cross multiply
    19,212.38x = 28,831.53 × 7,524.14
  4. Step 4: Simplify right side
    19,212.38x = 216,932,468.13
  5. Step 5: Solve for x
    x = 216,932,468.13/19,212.38
  6. Step 6: Final answer
    x = 11,291.29

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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.