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Finding the Fourth Proportional to 21,686.84, 32,530.50 and 7,644.26

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Solution

The fourth proportional to 21,686.84, 32,530.50 and 7,644.26 is: 11,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.84 : 32,530.50 = 7,644.26 : x
  2. Step 2: Convert to fraction form
    21,686.84/32,530.50 = 7,644.26/x
  3. Step 3: Cross multiply
    21,686.84x = 32,530.50 × 7,644.26
  4. Step 4: Simplify right side
    21,686.84x = 248,671,422.94
  5. Step 5: Solve for x
    x = 248,671,422.94/21,686.84
  6. Step 6: Final answer
    x = 11,466.46

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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.