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Finding the Fourth Proportional to 16,582.97, 24,832.80 and 9,915.32

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Solution

The fourth proportional to 16,582.97, 24,832.80 and 9,915.32 is: 14,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.97 : 24,832.80 = 9,915.32 : x
  2. Step 2: Convert to fraction form
    16,582.97/24,832.80 = 9,915.32/x
  3. Step 3: Cross multiply
    16,582.97x = 24,832.80 × 9,915.32
  4. Step 4: Simplify right side
    16,582.97x = 246,225,158.50
  5. Step 5: Solve for x
    x = 246,225,158.50/16,582.97
  6. Step 6: Final answer
    x = 14,848.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.