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Finding the Fourth Proportional to 15,507.61, 23,261.43 and 3,820.83

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Solution

The fourth proportional to 15,507.61, 23,261.43 and 3,820.83 is: 5,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,507.61 : 23,261.43 = 3,820.83 : x
  2. Step 2: Convert to fraction form
    15,507.61/23,261.43 = 3,820.83/x
  3. Step 3: Cross multiply
    15,507.61x = 23,261.43 × 3,820.83
  4. Step 4: Simplify right side
    15,507.61x = 88,877,960.03
  5. Step 5: Solve for x
    x = 88,877,960.03/15,507.61
  6. Step 6: Final answer
    x = 5,731.25

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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.