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Finding the Fourth Proportional to 30,999.58, 46,498.14 and 13,222.92

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Solution

The fourth proportional to 30,999.58, 46,498.14 and 13,222.92 is: 19,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,999.58 : 46,498.14 = 13,222.92 : x
  2. Step 2: Convert to fraction form
    30,999.58/46,498.14 = 13,222.92/x
  3. Step 3: Cross multiply
    30,999.58x = 46,498.14 × 13,222.92
  4. Step 4: Simplify right side
    30,999.58x = 614,841,185.37
  5. Step 5: Solve for x
    x = 614,841,185.37/30,999.58
  6. Step 6: Final answer
    x = 19,833.86

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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.