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Finding the Fourth Proportional to 16,538.80, 24,810.93 and 7,663

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Solution

The fourth proportional to 16,538.80, 24,810.93 and 7,663 is: 11,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.80 : 24,810.93 = 7,663 : x
  2. Step 2: Convert to fraction form
    16,538.80/24,810.93 = 7,663/x
  3. Step 3: Cross multiply
    16,538.80x = 24,810.93 × 7,663
  4. Step 4: Simplify right side
    16,538.80x = 190,126,156.59
  5. Step 5: Solve for x
    x = 190,126,156.59/16,538.80
  6. Step 6: Final answer
    x = 11,495.76

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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.