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Finding the Fourth Proportional to 13,470.94, 20,206.42 and 4,111.01

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Solution

The fourth proportional to 13,470.94, 20,206.42 and 4,111.01 is: 6,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.94 : 20,206.42 = 4,111.01 : x
  2. Step 2: Convert to fraction form
    13,470.94/20,206.42 = 4,111.01/x
  3. Step 3: Cross multiply
    13,470.94x = 20,206.42 × 4,111.01
  4. Step 4: Simplify right side
    13,470.94x = 83,068,795.11
  5. Step 5: Solve for x
    x = 83,068,795.11/13,470.94
  6. Step 6: Final answer
    x = 6,166.52

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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.