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Finding the Fourth Proportional to 23,523.83, 35,271.39 and 9,999.07

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Solution

The fourth proportional to 23,523.83, 35,271.39 and 9,999.07 is: 14,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.83 : 35,271.39 = 9,999.07 : x
  2. Step 2: Convert to fraction form
    23,523.83/35,271.39 = 9,999.07/x
  3. Step 3: Cross multiply
    23,523.83x = 35,271.39 × 9,999.07
  4. Step 4: Simplify right side
    23,523.83x = 352,681,097.61
  5. Step 5: Solve for x
    x = 352,681,097.61/23,523.83
  6. Step 6: Final answer
    x = 14,992.50

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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.