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Finding the Fourth Proportional to 13,116, 19,654.35 and 5,716.45

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Solution

The fourth proportional to 13,116, 19,654.35 and 5,716.45 is: 8,566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116 : 19,654.35 = 5,716.45 : x
  2. Step 2: Convert to fraction form
    13,116/19,654.35 = 5,716.45/x
  3. Step 3: Cross multiply
    13,116x = 19,654.35 × 5,716.45
  4. Step 4: Simplify right side
    13,116x = 112,353,109.06
  5. Step 5: Solve for x
    x = 112,353,109.06/13,116
  6. Step 6: Final answer
    x = 8,566.11

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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.