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Finding the Fourth Proportional to 13,994.64, 19,312 and 8,022.17

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Solution

The fourth proportional to 13,994.64, 19,312 and 8,022.17 is: 11,070.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.64 : 19,312 = 8,022.17 : x
  2. Step 2: Convert to fraction form
    13,994.64/19,312 = 8,022.17/x
  3. Step 3: Cross multiply
    13,994.64x = 19,312 × 8,022.17
  4. Step 4: Simplify right side
    13,994.64x = 154,924,147.04
  5. Step 5: Solve for x
    x = 154,924,147.04/13,994.64
  6. Step 6: Final answer
    x = 11,070.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.