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Finding the Fourth Proportional to 15,783.89, 23,659.36 and 6,420.15

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Solution

The fourth proportional to 15,783.89, 23,659.36 and 6,420.15 is: 9,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.89 : 23,659.36 = 6,420.15 : x
  2. Step 2: Convert to fraction form
    15,783.89/23,659.36 = 6,420.15/x
  3. Step 3: Cross multiply
    15,783.89x = 23,659.36 × 6,420.15
  4. Step 4: Simplify right side
    15,783.89x = 151,896,624.05
  5. Step 5: Solve for x
    x = 151,896,624.05/15,783.89
  6. Step 6: Final answer
    x = 9,623.53

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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.