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Finding the Fourth Proportional to 13,574.60, 20,360.93 and 4,214.39

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Solution

The fourth proportional to 13,574.60, 20,360.93 and 4,214.39 is: 6,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.60 : 20,360.93 = 4,214.39 : x
  2. Step 2: Convert to fraction form
    13,574.60/20,360.93 = 4,214.39/x
  3. Step 3: Cross multiply
    13,574.60x = 20,360.93 × 4,214.39
  4. Step 4: Simplify right side
    13,574.60x = 85,808,808.51
  5. Step 5: Solve for x
    x = 85,808,808.51/13,574.60
  6. Step 6: Final answer
    x = 6,321.28

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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.