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Finding the Fourth Proportional to 15,803.94, 23,705.71 and 6,441.76

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Solution

The fourth proportional to 15,803.94, 23,705.71 and 6,441.76 is: 9,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,803.94 : 23,705.71 = 6,441.76 : x
  2. Step 2: Convert to fraction form
    15,803.94/23,705.71 = 6,441.76/x
  3. Step 3: Cross multiply
    15,803.94x = 23,705.71 × 6,441.76
  4. Step 4: Simplify right side
    15,803.94x = 152,706,494.45
  5. Step 5: Solve for x
    x = 152,706,494.45/15,803.94
  6. Step 6: Final answer
    x = 9,662.56

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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.