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Finding the Fourth Proportional to 12,018.48, 16,574.60 and 7,542.64

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Solution

The fourth proportional to 12,018.48, 16,574.60 and 7,542.64 is: 10,402.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.48 : 16,574.60 = 7,542.64 : x
  2. Step 2: Convert to fraction form
    12,018.48/16,574.60 = 7,542.64/x
  3. Step 3: Cross multiply
    12,018.48x = 16,574.60 × 7,542.64
  4. Step 4: Simplify right side
    12,018.48x = 125,016,240.94
  5. Step 5: Solve for x
    x = 125,016,240.94/12,018.48
  6. Step 6: Final answer
    x = 10,402.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.