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Finding the Fourth Proportional to 13,966.75, 19,274.48 and 7,593.77

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Solution

The fourth proportional to 13,966.75, 19,274.48 and 7,593.77 is: 10,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.75 : 19,274.48 = 7,593.77 : x
  2. Step 2: Convert to fraction form
    13,966.75/19,274.48 = 7,593.77/x
  3. Step 3: Cross multiply
    13,966.75x = 19,274.48 × 7,593.77
  4. Step 4: Simplify right side
    13,966.75x = 146,365,967.99
  5. Step 5: Solve for x
    x = 146,365,967.99/13,966.75
  6. Step 6: Final answer
    x = 10,479.60

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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.