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Finding the Fourth Proportional to 16,506, 24,762.84 and 5,562

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Solution

The fourth proportional to 16,506, 24,762.84 and 5,562 is: 8,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506 : 24,762.84 = 5,562 : x
  2. Step 2: Convert to fraction form
    16,506/24,762.84 = 5,562/x
  3. Step 3: Cross multiply
    16,506x = 24,762.84 × 5,562
  4. Step 4: Simplify right side
    16,506x = 137,730,916.08
  5. Step 5: Solve for x
    x = 137,730,916.08/16,506
  6. Step 6: Final answer
    x = 8,344.29

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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.