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Finding the Fourth Proportional to 13,398.53, 20,078.55 and 7,542.77

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Solution

The fourth proportional to 13,398.53, 20,078.55 and 7,542.77 is: 11,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.53 : 20,078.55 = 7,542.77 : x
  2. Step 2: Convert to fraction form
    13,398.53/20,078.55 = 7,542.77/x
  3. Step 3: Cross multiply
    13,398.53x = 20,078.55 × 7,542.77
  4. Step 4: Simplify right side
    13,398.53x = 151,447,784.19
  5. Step 5: Solve for x
    x = 151,447,784.19/13,398.53
  6. Step 6: Final answer
    x = 11,303.32

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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.