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Finding the Fourth Proportional to 19,909.92, 29,864.88 and 8,210.28

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Solution

The fourth proportional to 19,909.92, 29,864.88 and 8,210.28 is: 12,315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.92 : 29,864.88 = 8,210.28 : x
  2. Step 2: Convert to fraction form
    19,909.92/29,864.88 = 8,210.28/x
  3. Step 3: Cross multiply
    19,909.92x = 29,864.88 × 8,210.28
  4. Step 4: Simplify right side
    19,909.92x = 245,199,026.97
  5. Step 5: Solve for x
    x = 245,199,026.97/19,909.92
  6. Step 6: Final answer
    x = 12,315.42

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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.