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Finding the Fourth Proportional to 24,692, 37,053.12 and 9,899.36

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Solution

The fourth proportional to 24,692, 37,053.12 and 9,899.36 is: 14,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692 : 37,053.12 = 9,899.36 : x
  2. Step 2: Convert to fraction form
    24,692/37,053.12 = 9,899.36/x
  3. Step 3: Cross multiply
    24,692x = 37,053.12 × 9,899.36
  4. Step 4: Simplify right side
    24,692x = 366,802,174.00
  5. Step 5: Solve for x
    x = 366,802,174.00/24,692
  6. Step 6: Final answer
    x = 14,855.10

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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.