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Finding the Fourth Proportional to 14,274.96, 19,700.52 and 7,987.20

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Solution

The fourth proportional to 14,274.96, 19,700.52 and 7,987.20 is: 11,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.96 : 19,700.52 = 7,987.20 : x
  2. Step 2: Convert to fraction form
    14,274.96/19,700.52 = 7,987.20/x
  3. Step 3: Cross multiply
    14,274.96x = 19,700.52 × 7,987.20
  4. Step 4: Simplify right side
    14,274.96x = 157,351,993.34
  5. Step 5: Solve for x
    x = 157,351,993.34/14,274.96
  6. Step 6: Final answer
    x = 11,022.94

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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.