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Finding the Fourth Proportional to 23,066.88, 31,824 and 13,125.12

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Solution

The fourth proportional to 23,066.88, 31,824 and 13,125.12 is: 18,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,066.88 : 31,824 = 13,125.12 : x
  2. Step 2: Convert to fraction form
    23,066.88/31,824 = 13,125.12/x
  3. Step 3: Cross multiply
    23,066.88x = 31,824 × 13,125.12
  4. Step 4: Simplify right side
    23,066.88x = 417,693,818.88
  5. Step 5: Solve for x
    x = 417,693,818.88/23,066.88
  6. Step 6: Final answer
    x = 18,107.95

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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.