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Finding the Fourth Proportional to 23,410.75, 32,323.76 and 14,470.51

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Solution

The fourth proportional to 23,410.75, 32,323.76 and 14,470.51 is: 19,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.75 : 32,323.76 = 14,470.51 : x
  2. Step 2: Convert to fraction form
    23,410.75/32,323.76 = 14,470.51/x
  3. Step 3: Cross multiply
    23,410.75x = 32,323.76 × 14,470.51
  4. Step 4: Simplify right side
    23,410.75x = 467,741,292.32
  5. Step 5: Solve for x
    x = 467,741,292.32/23,410.75
  6. Step 6: Final answer
    x = 19,979.77

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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.