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Finding the Fourth Proportional to 19,977.49, 29,981.22 and 7,509.79

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Solution

The fourth proportional to 19,977.49, 29,981.22 and 7,509.79 is: 11,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.49 : 29,981.22 = 7,509.79 : x
  2. Step 2: Convert to fraction form
    19,977.49/29,981.22 = 7,509.79/x
  3. Step 3: Cross multiply
    19,977.49x = 29,981.22 × 7,509.79
  4. Step 4: Simplify right side
    19,977.49x = 225,152,666.14
  5. Step 5: Solve for x
    x = 225,152,666.14/19,977.49
  6. Step 6: Final answer
    x = 11,270.32

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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.