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Finding the Fourth Proportional to 11,907.86, 17,862.35 and 9,824.00

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Solution

The fourth proportional to 11,907.86, 17,862.35 and 9,824.00 is: 14,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.86 : 17,862.35 = 9,824.00 : x
  2. Step 2: Convert to fraction form
    11,907.86/17,862.35 = 9,824.00/x
  3. Step 3: Cross multiply
    11,907.86x = 17,862.35 × 9,824.00
  4. Step 4: Simplify right side
    11,907.86x = 175,479,587.97
  5. Step 5: Solve for x
    x = 175,479,587.97/11,907.86
  6. Step 6: Final answer
    x = 14,736.46

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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.