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Finding the Fourth Proportional to 38,802.96, 58,205.04 and 12,507.84

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Solution

The fourth proportional to 38,802.96, 58,205.04 and 12,507.84 is: 18,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802.96 : 58,205.04 = 12,507.84 : x
  2. Step 2: Convert to fraction form
    38,802.96/58,205.04 = 12,507.84/x
  3. Step 3: Cross multiply
    38,802.96x = 58,205.04 × 12,507.84
  4. Step 4: Simplify right side
    38,802.96x = 728,019,327.51
  5. Step 5: Solve for x
    x = 728,019,327.51/38,802.96
  6. Step 6: Final answer
    x = 18,761.95

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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.