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Finding the Fourth Proportional to 19,415.92, 29,123.88 and 9,022

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Solution

The fourth proportional to 19,415.92, 29,123.88 and 9,022 is: 13,533.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,415.92 : 29,123.88 = 9,022 : x
  2. Step 2: Convert to fraction form
    19,415.92/29,123.88 = 9,022/x
  3. Step 3: Cross multiply
    19,415.92x = 29,123.88 × 9,022
  4. Step 4: Simplify right side
    19,415.92x = 262,755,645.36
  5. Step 5: Solve for x
    x = 262,755,645.36/19,415.92
  6. Step 6: Final answer
    x = 13,533.00

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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.