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Finding the Fourth Proportional to 21,644.76, 32,442.52 and 9,156.99

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Solution

The fourth proportional to 21,644.76, 32,442.52 and 9,156.99 is: 13,725.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.76 : 32,442.52 = 9,156.99 : x
  2. Step 2: Convert to fraction form
    21,644.76/32,442.52 = 9,156.99/x
  3. Step 3: Cross multiply
    21,644.76x = 32,442.52 × 9,156.99
  4. Step 4: Simplify right side
    21,644.76x = 297,075,831.21
  5. Step 5: Solve for x
    x = 297,075,831.21/21,644.76
  6. Step 6: Final answer
    x = 13,725.07

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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.