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Finding the Fourth Proportional to 23,138.69, 31,927.94 and 13,066.92

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Solution

The fourth proportional to 23,138.69, 31,927.94 and 13,066.92 is: 18,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.69 : 31,927.94 = 13,066.92 : x
  2. Step 2: Convert to fraction form
    23,138.69/31,927.94 = 13,066.92/x
  3. Step 3: Cross multiply
    23,138.69x = 31,927.94 × 13,066.92
  4. Step 4: Simplify right side
    23,138.69x = 417,199,772.41
  5. Step 5: Solve for x
    x = 417,199,772.41/23,138.69
  6. Step 6: Final answer
    x = 18,030.40

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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.