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Finding the Fourth Proportional to 23,840.51, 35,760.78 and 9,790.74

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Solution

The fourth proportional to 23,840.51, 35,760.78 and 9,790.74 is: 14,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.51 : 35,760.78 = 9,790.74 : x
  2. Step 2: Convert to fraction form
    23,840.51/35,760.78 = 9,790.74/x
  3. Step 3: Cross multiply
    23,840.51x = 35,760.78 × 9,790.74
  4. Step 4: Simplify right side
    23,840.51x = 350,124,499.18
  5. Step 5: Solve for x
    x = 350,124,499.18/23,840.51
  6. Step 6: Final answer
    x = 14,686.12

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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.