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Finding the Fourth Proportional to 23,392.71, 32,282.74 and 12,783.03

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Solution

The fourth proportional to 23,392.71, 32,282.74 and 12,783.03 is: 17,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392.71 : 32,282.74 = 12,783.03 : x
  2. Step 2: Convert to fraction form
    23,392.71/32,282.74 = 12,783.03/x
  3. Step 3: Cross multiply
    23,392.71x = 32,282.74 × 12,783.03
  4. Step 4: Simplify right side
    23,392.71x = 412,671,249.88
  5. Step 5: Solve for x
    x = 412,671,249.88/23,392.71
  6. Step 6: Final answer
    x = 17,641.02

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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.