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Finding the Fourth Proportional to 23,893.76, 35,854.47 and 9,851.17

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Solution

The fourth proportional to 23,893.76, 35,854.47 and 9,851.17 is: 14,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.76 : 35,854.47 = 9,851.17 : x
  2. Step 2: Convert to fraction form
    23,893.76/35,854.47 = 9,851.17/x
  3. Step 3: Cross multiply
    23,893.76x = 35,854.47 × 9,851.17
  4. Step 4: Simplify right side
    23,893.76x = 353,208,429.97
  5. Step 5: Solve for x
    x = 353,208,429.97/23,893.76
  6. Step 6: Final answer
    x = 14,782.45

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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.