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Finding the Fourth Proportional to 21,706.68, 32,561.64 and 9,225.30

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Solution

The fourth proportional to 21,706.68, 32,561.64 and 9,225.30 is: 13,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.68 : 32,561.64 = 9,225.30 : x
  2. Step 2: Convert to fraction form
    21,706.68/32,561.64 = 9,225.30/x
  3. Step 3: Cross multiply
    21,706.68x = 32,561.64 × 9,225.30
  4. Step 4: Simplify right side
    21,706.68x = 300,390,897.49
  5. Step 5: Solve for x
    x = 300,390,897.49/21,706.68
  6. Step 6: Final answer
    x = 13,838.64

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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.