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Finding the Fourth Proportional to 16,476, 24,717.11 and 6,616.05

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Solution

The fourth proportional to 16,476, 24,717.11 and 6,616.05 is: 9,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476 : 24,717.11 = 6,616.05 : x
  2. Step 2: Convert to fraction form
    16,476/24,717.11 = 6,616.05/x
  3. Step 3: Cross multiply
    16,476x = 24,717.11 × 6,616.05
  4. Step 4: Simplify right side
    16,476x = 163,529,602.54
  5. Step 5: Solve for x
    x = 163,529,602.54/16,476
  6. Step 6: Final answer
    x = 9,925.32

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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.