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Finding the Fourth Proportional to 23,884.70, 35,831.40 and 7,875.14

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Solution

The fourth proportional to 23,884.70, 35,831.40 and 7,875.14 is: 11,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.70 : 35,831.40 = 7,875.14 : x
  2. Step 2: Convert to fraction form
    23,884.70/35,831.40 = 7,875.14/x
  3. Step 3: Cross multiply
    23,884.70x = 35,831.40 × 7,875.14
  4. Step 4: Simplify right side
    23,884.70x = 282,177,291.40
  5. Step 5: Solve for x
    x = 282,177,291.40/23,884.70
  6. Step 6: Final answer
    x = 11,814.14

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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.