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Finding the Fourth Proportional to 23,444.02, 35,158.74 and 7,858

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Solution

The fourth proportional to 23,444.02, 35,158.74 and 7,858 is: 11,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.02 : 35,158.74 = 7,858 : x
  2. Step 2: Convert to fraction form
    23,444.02/35,158.74 = 7,858/x
  3. Step 3: Cross multiply
    23,444.02x = 35,158.74 × 7,858
  4. Step 4: Simplify right side
    23,444.02x = 276,277,378.92
  5. Step 5: Solve for x
    x = 276,277,378.92/23,444.02
  6. Step 6: Final answer
    x = 11,784.56

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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.