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Finding the Fourth Proportional to 12,820.52, 19,232.52 and 4,498.58

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Solution

The fourth proportional to 12,820.52, 19,232.52 and 4,498.58 is: 6,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.52 : 19,232.52 = 4,498.58 : x
  2. Step 2: Convert to fraction form
    12,820.52/19,232.52 = 4,498.58/x
  3. Step 3: Cross multiply
    12,820.52x = 19,232.52 × 4,498.58
  4. Step 4: Simplify right side
    12,820.52x = 86,519,029.82
  5. Step 5: Solve for x
    x = 86,519,029.82/12,820.52
  6. Step 6: Final answer
    x = 6,748.48

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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.