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Finding the Fourth Proportional to 12,148.64, 18,227.40 and 5,130.44

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Solution

The fourth proportional to 12,148.64, 18,227.40 and 5,130.44 is: 7,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.64 : 18,227.40 = 5,130.44 : x
  2. Step 2: Convert to fraction form
    12,148.64/18,227.40 = 5,130.44/x
  3. Step 3: Cross multiply
    12,148.64x = 18,227.40 × 5,130.44
  4. Step 4: Simplify right side
    12,148.64x = 93,514,582.06
  5. Step 5: Solve for x
    x = 93,514,582.06/12,148.64
  6. Step 6: Final answer
    x = 7,697.54

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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.