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Finding the Fourth Proportional to 16,526, 24,772.60 and 9,133.94

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Solution

The fourth proportional to 16,526, 24,772.60 and 9,133.94 is: 13,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526 : 24,772.60 = 9,133.94 : x
  2. Step 2: Convert to fraction form
    16,526/24,772.60 = 9,133.94/x
  3. Step 3: Cross multiply
    16,526x = 24,772.60 × 9,133.94
  4. Step 4: Simplify right side
    16,526x = 226,271,442.04
  5. Step 5: Solve for x
    x = 226,271,442.04/16,526
  6. Step 6: Final answer
    x = 13,691.85

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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.