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Finding the Fourth Proportional to 14,282.16, 19,709.04 and 7,994.64

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Solution

The fourth proportional to 14,282.16, 19,709.04 and 7,994.64 is: 11,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.16 : 19,709.04 = 7,994.64 : x
  2. Step 2: Convert to fraction form
    14,282.16/19,709.04 = 7,994.64/x
  3. Step 3: Cross multiply
    14,282.16x = 19,709.04 × 7,994.64
  4. Step 4: Simplify right side
    14,282.16x = 157,566,679.55
  5. Step 5: Solve for x
    x = 157,566,679.55/14,282.16
  6. Step 6: Final answer
    x = 11,032.41

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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.