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Finding the Fourth Proportional to 13,864.50, 19,131.92 and 7,894.98

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Solution

The fourth proportional to 13,864.50, 19,131.92 and 7,894.98 is: 10,894.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.50 : 19,131.92 = 7,894.98 : x
  2. Step 2: Convert to fraction form
    13,864.50/19,131.92 = 7,894.98/x
  3. Step 3: Cross multiply
    13,864.50x = 19,131.92 × 7,894.98
  4. Step 4: Simplify right side
    13,864.50x = 151,046,125.76
  5. Step 5: Solve for x
    x = 151,046,125.76/13,864.50
  6. Step 6: Final answer
    x = 10,894.45

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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.