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Finding the Fourth Proportional to 19,878.75, 29,821.77 and 9,490.50

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Solution

The fourth proportional to 19,878.75, 29,821.77 and 9,490.50 is: 14,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.75 : 29,821.77 = 9,490.50 : x
  2. Step 2: Convert to fraction form
    19,878.75/29,821.77 = 9,490.50/x
  3. Step 3: Cross multiply
    19,878.75x = 29,821.77 × 9,490.50
  4. Step 4: Simplify right side
    19,878.75x = 283,023,508.19
  5. Step 5: Solve for x
    x = 283,023,508.19/19,878.75
  6. Step 6: Final answer
    x = 14,237.49

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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.