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Finding the Fourth Proportional to 13,492.94, 20,246.30 and 9,101.19

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Solution

The fourth proportional to 13,492.94, 20,246.30 and 9,101.19 is: 13,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.94 : 20,246.30 = 9,101.19 : x
  2. Step 2: Convert to fraction form
    13,492.94/20,246.30 = 9,101.19/x
  3. Step 3: Cross multiply
    13,492.94x = 20,246.30 × 9,101.19
  4. Step 4: Simplify right side
    13,492.94x = 184,265,377.59
  5. Step 5: Solve for x
    x = 184,265,377.59/13,492.94
  6. Step 6: Final answer
    x = 13,656.43

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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.