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Finding the Fourth Proportional to 12,820.69, 19,236.99 and 4,920.58

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Solution

The fourth proportional to 12,820.69, 19,236.99 and 4,920.58 is: 7,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.69 : 19,236.99 = 4,920.58 : x
  2. Step 2: Convert to fraction form
    12,820.69/19,236.99 = 4,920.58/x
  3. Step 3: Cross multiply
    12,820.69x = 19,236.99 × 4,920.58
  4. Step 4: Simplify right side
    12,820.69x = 94,657,148.25
  5. Step 5: Solve for x
    x = 94,657,148.25/12,820.69
  6. Step 6: Final answer
    x = 7,383.16

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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.