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Finding the Fourth Proportional to 24,056.46, 36,065.23 and 10,027.06

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Solution

The fourth proportional to 24,056.46, 36,065.23 and 10,027.06 is: 15,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,056.46 : 36,065.23 = 10,027.06 : x
  2. Step 2: Convert to fraction form
    24,056.46/36,065.23 = 10,027.06/x
  3. Step 3: Cross multiply
    24,056.46x = 36,065.23 × 10,027.06
  4. Step 4: Simplify right side
    24,056.46x = 361,628,109.89
  5. Step 5: Solve for x
    x = 361,628,109.89/24,056.46
  6. Step 6: Final answer
    x = 15,032.47

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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.