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Finding the Fourth Proportional to 21,298.84, 31,946.46 and 9,611.80

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Solution

The fourth proportional to 21,298.84, 31,946.46 and 9,611.80 is: 14,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,298.84 : 31,946.46 = 9,611.80 : x
  2. Step 2: Convert to fraction form
    21,298.84/31,946.46 = 9,611.80/x
  3. Step 3: Cross multiply
    21,298.84x = 31,946.46 × 9,611.80
  4. Step 4: Simplify right side
    21,298.84x = 307,062,984.23
  5. Step 5: Solve for x
    x = 307,062,984.23/21,298.84
  6. Step 6: Final answer
    x = 14,416.89

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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.