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Finding the Fourth Proportional to 21,782.88, 32,670.40 and 9,309.92

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Solution

The fourth proportional to 21,782.88, 32,670.40 and 9,309.92 is: 13,963.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.88 : 32,670.40 = 9,309.92 : x
  2. Step 2: Convert to fraction form
    21,782.88/32,670.40 = 9,309.92/x
  3. Step 3: Cross multiply
    21,782.88x = 32,670.40 × 9,309.92
  4. Step 4: Simplify right side
    21,782.88x = 304,158,810.37
  5. Step 5: Solve for x
    x = 304,158,810.37/21,782.88
  6. Step 6: Final answer
    x = 13,963.20

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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.