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Finding the Fourth Proportional to 23,480.76, 32,392.62 and 13,539

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Solution

The fourth proportional to 23,480.76, 32,392.62 and 13,539 is: 18,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.76 : 32,392.62 = 13,539 : x
  2. Step 2: Convert to fraction form
    23,480.76/32,392.62 = 13,539/x
  3. Step 3: Cross multiply
    23,480.76x = 32,392.62 × 13,539
  4. Step 4: Simplify right side
    23,480.76x = 438,563,682.18
  5. Step 5: Solve for x
    x = 438,563,682.18/23,480.76
  6. Step 6: Final answer
    x = 18,677.58

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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.