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Finding the Fourth Proportional to 12,668.24, 19,001.40 and 3,434

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Solution

The fourth proportional to 12,668.24, 19,001.40 and 3,434 is: 5,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,668.24 : 19,001.40 = 3,434 : x
  2. Step 2: Convert to fraction form
    12,668.24/19,001.40 = 3,434/x
  3. Step 3: Cross multiply
    12,668.24x = 19,001.40 × 3,434
  4. Step 4: Simplify right side
    12,668.24x = 65,250,807.60
  5. Step 5: Solve for x
    x = 65,250,807.60/12,668.24
  6. Step 6: Final answer
    x = 5,150.74

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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.