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Finding the Fourth Proportional to 21,852.69, 32,779.06 and 9,364.61

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Solution

The fourth proportional to 21,852.69, 32,779.06 and 9,364.61 is: 14,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.69 : 32,779.06 = 9,364.61 : x
  2. Step 2: Convert to fraction form
    21,852.69/32,779.06 = 9,364.61/x
  3. Step 3: Cross multiply
    21,852.69x = 32,779.06 × 9,364.61
  4. Step 4: Simplify right side
    21,852.69x = 306,963,113.07
  5. Step 5: Solve for x
    x = 306,963,113.07/21,852.69
  6. Step 6: Final answer
    x = 14,046.93

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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.