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Finding the Fourth Proportional to 13,544.84, 18,691.80 and 7,577.17

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Solution

The fourth proportional to 13,544.84, 18,691.80 and 7,577.17 is: 10,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.84 : 18,691.80 = 7,577.17 : x
  2. Step 2: Convert to fraction form
    13,544.84/18,691.80 = 7,577.17/x
  3. Step 3: Cross multiply
    13,544.84x = 18,691.80 × 7,577.17
  4. Step 4: Simplify right side
    13,544.84x = 141,630,946.21
  5. Step 5: Solve for x
    x = 141,630,946.21/13,544.84
  6. Step 6: Final answer
    x = 10,456.45

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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.