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Finding the Fourth Proportional to 23,385.31, 35,078.01 and 7,802.98

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Solution

The fourth proportional to 23,385.31, 35,078.01 and 7,802.98 is: 11,704.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.31 : 35,078.01 = 7,802.98 : x
  2. Step 2: Convert to fraction form
    23,385.31/35,078.01 = 7,802.98/x
  3. Step 3: Cross multiply
    23,385.31x = 35,078.01 × 7,802.98
  4. Step 4: Simplify right side
    23,385.31x = 273,713,010.47
  5. Step 5: Solve for x
    x = 273,713,010.47/23,385.31
  6. Step 6: Final answer
    x = 11,704.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.