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Finding the Fourth Proportional to 19,689.12, 29,533.68 and 5,838

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Solution

The fourth proportional to 19,689.12, 29,533.68 and 5,838 is: 8,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.12 : 29,533.68 = 5,838 : x
  2. Step 2: Convert to fraction form
    19,689.12/29,533.68 = 5,838/x
  3. Step 3: Cross multiply
    19,689.12x = 29,533.68 × 5,838
  4. Step 4: Simplify right side
    19,689.12x = 172,417,623.84
  5. Step 5: Solve for x
    x = 172,417,623.84/19,689.12
  6. Step 6: Final answer
    x = 8,757

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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.