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Finding the Fourth Proportional to 23,852.99, 35,774.61 and 9,056.72

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Solution

The fourth proportional to 23,852.99, 35,774.61 and 9,056.72 is: 13,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.99 : 35,774.61 = 9,056.72 : x
  2. Step 2: Convert to fraction form
    23,852.99/35,774.61 = 9,056.72/x
  3. Step 3: Cross multiply
    23,852.99x = 35,774.61 × 9,056.72
  4. Step 4: Simplify right side
    23,852.99x = 324,000,447.01
  5. Step 5: Solve for x
    x = 324,000,447.01/23,852.99
  6. Step 6: Final answer
    x = 13,583.22

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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.