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Finding the Fourth Proportional to 12,820.32, 19,237.32 and 5,029.20

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Solution

The fourth proportional to 12,820.32, 19,237.32 and 5,029.20 is: 7,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.32 : 19,237.32 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    12,820.32/19,237.32 = 5,029.20/x
  3. Step 3: Cross multiply
    12,820.32x = 19,237.32 × 5,029.20
  4. Step 4: Simplify right side
    12,820.32x = 96,748,329.74
  5. Step 5: Solve for x
    x = 96,748,329.74/12,820.32
  6. Step 6: Final answer
    x = 7,546.48

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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.