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Finding the Fourth Proportional to 23,765.95, 32,794.74 and 14,203.93

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Solution

The fourth proportional to 23,765.95, 32,794.74 and 14,203.93 is: 19,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.95 : 32,794.74 = 14,203.93 : x
  2. Step 2: Convert to fraction form
    23,765.95/32,794.74 = 14,203.93/x
  3. Step 3: Cross multiply
    23,765.95x = 32,794.74 × 14,203.93
  4. Step 4: Simplify right side
    23,765.95x = 465,814,272.32
  5. Step 5: Solve for x
    x = 465,814,272.32/23,765.95
  6. Step 6: Final answer
    x = 19,600.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.