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Finding the Fourth Proportional to 19,633.77, 29,428.14 and 9,750.96

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Solution

The fourth proportional to 19,633.77, 29,428.14 and 9,750.96 is: 14,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.77 : 29,428.14 = 9,750.96 : x
  2. Step 2: Convert to fraction form
    19,633.77/29,428.14 = 9,750.96/x
  3. Step 3: Cross multiply
    19,633.77x = 29,428.14 × 9,750.96
  4. Step 4: Simplify right side
    19,633.77x = 286,952,616.01
  5. Step 5: Solve for x
    x = 286,952,616.01/19,633.77
  6. Step 6: Final answer
    x = 14,615.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.