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Finding the Fourth Proportional to 14,281.65, 19,708.67 and 7,994.03

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Solution

The fourth proportional to 14,281.65, 19,708.67 and 7,994.03 is: 11,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281.65 : 19,708.67 = 7,994.03 : x
  2. Step 2: Convert to fraction form
    14,281.65/19,708.67 = 7,994.03/x
  3. Step 3: Cross multiply
    14,281.65x = 19,708.67 × 7,994.03
  4. Step 4: Simplify right side
    14,281.65x = 157,551,699.24
  5. Step 5: Solve for x
    x = 157,551,699.24/14,281.65
  6. Step 6: Final answer
    x = 11,031.76

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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.