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Finding the Fourth Proportional to 23,465.16, 32,380.74 and 12,852.76

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Solution

The fourth proportional to 23,465.16, 32,380.74 and 12,852.76 is: 17,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.16 : 32,380.74 = 12,852.76 : x
  2. Step 2: Convert to fraction form
    23,465.16/32,380.74 = 12,852.76/x
  3. Step 3: Cross multiply
    23,465.16x = 32,380.74 × 12,852.76
  4. Step 4: Simplify right side
    23,465.16x = 416,181,879.84
  5. Step 5: Solve for x
    x = 416,181,879.84/23,465.16
  6. Step 6: Final answer
    x = 17,736.16

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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.