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Finding the Fourth Proportional to 21,971.22, 32,946.88 and 6,974.01

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Solution

The fourth proportional to 21,971.22, 32,946.88 and 6,974.01 is: 10,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.22 : 32,946.88 = 6,974.01 : x
  2. Step 2: Convert to fraction form
    21,971.22/32,946.88 = 6,974.01/x
  3. Step 3: Cross multiply
    21,971.22x = 32,946.88 × 6,974.01
  4. Step 4: Simplify right side
    21,971.22x = 229,771,870.59
  5. Step 5: Solve for x
    x = 229,771,870.59/21,971.22
  6. Step 6: Final answer
    x = 10,457.86

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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.