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Finding the Fourth Proportional to 19,647.70, 29,445.26 and 9,637.14

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Solution

The fourth proportional to 19,647.70, 29,445.26 and 9,637.14 is: 14,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.70 : 29,445.26 = 9,637.14 : x
  2. Step 2: Convert to fraction form
    19,647.70/29,445.26 = 9,637.14/x
  3. Step 3: Cross multiply
    19,647.70x = 29,445.26 × 9,637.14
  4. Step 4: Simplify right side
    19,647.70x = 283,768,070.87
  5. Step 5: Solve for x
    x = 283,768,070.87/19,647.70
  6. Step 6: Final answer
    x = 14,442.81

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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.