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Finding the Fourth Proportional to 19,509.90, 29,280.09 and 7,830.78

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Solution

The fourth proportional to 19,509.90, 29,280.09 and 7,830.78 is: 11,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.90 : 29,280.09 = 7,830.78 : x
  2. Step 2: Convert to fraction form
    19,509.90/29,280.09 = 7,830.78/x
  3. Step 3: Cross multiply
    19,509.90x = 29,280.09 × 7,830.78
  4. Step 4: Simplify right side
    19,509.90x = 229,285,943.17
  5. Step 5: Solve for x
    x = 229,285,943.17/19,509.90
  6. Step 6: Final answer
    x = 11,752.29

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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.