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Finding the Fourth Proportional to 16,359.68, 24,522 and 6,485.28

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Solution

The fourth proportional to 16,359.68, 24,522 and 6,485.28 is: 9,720.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,359.68 : 24,522 = 6,485.28 : x
  2. Step 2: Convert to fraction form
    16,359.68/24,522 = 6,485.28/x
  3. Step 3: Cross multiply
    16,359.68x = 24,522 × 6,485.28
  4. Step 4: Simplify right side
    16,359.68x = 159,032,036.16
  5. Step 5: Solve for x
    x = 159,032,036.16/16,359.68
  6. Step 6: Final answer
    x = 9,720.97

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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.