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Finding the Fourth Proportional to 19,647.76, 29,472.88 and 9,777.10

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Solution

The fourth proportional to 19,647.76, 29,472.88 and 9,777.10 is: 14,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.76 : 29,472.88 = 9,777.10 : x
  2. Step 2: Convert to fraction form
    19,647.76/29,472.88 = 9,777.10/x
  3. Step 3: Cross multiply
    19,647.76x = 29,472.88 × 9,777.10
  4. Step 4: Simplify right side
    19,647.76x = 288,159,295.05
  5. Step 5: Solve for x
    x = 288,159,295.05/19,647.76
  6. Step 6: Final answer
    x = 14,666.27

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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.