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Finding the Fourth Proportional to 19,830.90, 29,768.22 and 9,967.53

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Solution

The fourth proportional to 19,830.90, 29,768.22 and 9,967.53 is: 14,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.90 : 29,768.22 = 9,967.53 : x
  2. Step 2: Convert to fraction form
    19,830.90/29,768.22 = 9,967.53/x
  3. Step 3: Cross multiply
    19,830.90x = 29,768.22 × 9,967.53
  4. Step 4: Simplify right side
    19,830.90x = 296,715,625.90
  5. Step 5: Solve for x
    x = 296,715,625.90/19,830.90
  6. Step 6: Final answer
    x = 14,962.29

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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.