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Finding the Fourth Proportional to 13,612.84, 20,417.08 and 5,296.66

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Solution

The fourth proportional to 13,612.84, 20,417.08 and 5,296.66 is: 7,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.84 : 20,417.08 = 5,296.66 : x
  2. Step 2: Convert to fraction form
    13,612.84/20,417.08 = 5,296.66/x
  3. Step 3: Cross multiply
    13,612.84x = 20,417.08 × 5,296.66
  4. Step 4: Simplify right side
    13,612.84x = 108,142,330.95
  5. Step 5: Solve for x
    x = 108,142,330.95/13,612.84
  6. Step 6: Final answer
    x = 7,944.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.