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Finding the Fourth Proportional to 12,894.86, 19,343.88 and 4,997.51

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Solution

The fourth proportional to 12,894.86, 19,343.88 and 4,997.51 is: 7,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.86 : 19,343.88 = 4,997.51 : x
  2. Step 2: Convert to fraction form
    12,894.86/19,343.88 = 4,997.51/x
  3. Step 3: Cross multiply
    12,894.86x = 19,343.88 × 4,997.51
  4. Step 4: Simplify right side
    12,894.86x = 96,671,209.56
  5. Step 5: Solve for x
    x = 96,671,209.56/12,894.86
  6. Step 6: Final answer
    x = 7,496.88

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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.