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Finding the Fourth Proportional to 12,937.60, 19,406.40 and 5,542.30

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Solution

The fourth proportional to 12,937.60, 19,406.40 and 5,542.30 is: 8,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937.60 : 19,406.40 = 5,542.30 : x
  2. Step 2: Convert to fraction form
    12,937.60/19,406.40 = 5,542.30/x
  3. Step 3: Cross multiply
    12,937.60x = 19,406.40 × 5,542.30
  4. Step 4: Simplify right side
    12,937.60x = 107,556,090.72
  5. Step 5: Solve for x
    x = 107,556,090.72/12,937.60
  6. Step 6: Final answer
    x = 8,313.45

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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.