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Finding the Fourth Proportional to 21,530.84, 32,308.80 and 9,049.96

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Solution

The fourth proportional to 21,530.84, 32,308.80 and 9,049.96 is: 13,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.84 : 32,308.80 = 9,049.96 : x
  2. Step 2: Convert to fraction form
    21,530.84/32,308.80 = 9,049.96/x
  3. Step 3: Cross multiply
    21,530.84x = 32,308.80 × 9,049.96
  4. Step 4: Simplify right side
    21,530.84x = 292,393,347.65
  5. Step 5: Solve for x
    x = 292,393,347.65/21,530.84
  6. Step 6: Final answer
    x = 13,580.21

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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.