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Finding the Fourth Proportional to 21,852.95, 32,771.40 and 7,809.18

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Solution

The fourth proportional to 21,852.95, 32,771.40 and 7,809.18 is: 11,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.95 : 32,771.40 = 7,809.18 : x
  2. Step 2: Convert to fraction form
    21,852.95/32,771.40 = 7,809.18/x
  3. Step 3: Cross multiply
    21,852.95x = 32,771.40 × 7,809.18
  4. Step 4: Simplify right side
    21,852.95x = 255,917,896.77
  5. Step 5: Solve for x
    x = 255,917,896.77/21,852.95
  6. Step 6: Final answer
    x = 11,710.91

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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.