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Finding the Fourth Proportional to 13,490.70, 20,187.45 and 9,116.70

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Solution

The fourth proportional to 13,490.70, 20,187.45 and 9,116.70 is: 13,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.70 : 20,187.45 = 9,116.70 : x
  2. Step 2: Convert to fraction form
    13,490.70/20,187.45 = 9,116.70/x
  3. Step 3: Cross multiply
    13,490.70x = 20,187.45 × 9,116.70
  4. Step 4: Simplify right side
    13,490.70x = 184,042,925.42
  5. Step 5: Solve for x
    x = 184,042,925.42/13,490.70
  6. Step 6: Final answer
    x = 13,642.21

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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.