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Finding the Fourth Proportional to 23,490.61, 32,416.81 and 12,880.32

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Solution

The fourth proportional to 23,490.61, 32,416.81 and 12,880.32 is: 17,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,490.61 : 32,416.81 = 12,880.32 : x
  2. Step 2: Convert to fraction form
    23,490.61/32,416.81 = 12,880.32/x
  3. Step 3: Cross multiply
    23,490.61x = 32,416.81 × 12,880.32
  4. Step 4: Simplify right side
    23,490.61x = 417,538,732.42
  5. Step 5: Solve for x
    x = 417,538,732.42/23,490.61
  6. Step 6: Final answer
    x = 17,774.71

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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.