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Finding the Fourth Proportional to 21,686.99, 32,530.71 and 7,644.40

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Solution

The fourth proportional to 21,686.99, 32,530.71 and 7,644.40 is: 11,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.99 : 32,530.71 = 7,644.40 : x
  2. Step 2: Convert to fraction form
    21,686.99/32,530.71 = 7,644.40/x
  3. Step 3: Cross multiply
    21,686.99x = 32,530.71 × 7,644.40
  4. Step 4: Simplify right side
    21,686.99x = 248,677,678.20
  5. Step 5: Solve for x
    x = 248,677,678.20/21,686.99
  6. Step 6: Final answer
    x = 11,466.68

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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.