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Finding the Fourth Proportional to 23,133.86, 31,924.02 and 13,062.14

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Solution

The fourth proportional to 23,133.86, 31,924.02 and 13,062.14 is: 18,025.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.86 : 31,924.02 = 13,062.14 : x
  2. Step 2: Convert to fraction form
    23,133.86/31,924.02 = 13,062.14/x
  3. Step 3: Cross multiply
    23,133.86x = 31,924.02 × 13,062.14
  4. Step 4: Simplify right side
    23,133.86x = 416,996,018.60
  5. Step 5: Solve for x
    x = 416,996,018.60/23,133.86
  6. Step 6: Final answer
    x = 18,025.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.