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Finding the Fourth Proportional to 12,649.32, 18,973.96 and 7,488

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Solution

The fourth proportional to 12,649.32, 18,973.96 and 7,488 is: 11,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.32 : 18,973.96 = 7,488 : x
  2. Step 2: Convert to fraction form
    12,649.32/18,973.96 = 7,488/x
  3. Step 3: Cross multiply
    12,649.32x = 18,973.96 × 7,488
  4. Step 4: Simplify right side
    12,649.32x = 142,077,012.48
  5. Step 5: Solve for x
    x = 142,077,012.48/12,649.32
  6. Step 6: Final answer
    x = 11,231.99

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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.