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Finding the Fourth Proportional to 21,297.69, 31,946.58 and 21,266.91

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Solution

The fourth proportional to 21,297.69, 31,946.58 and 21,266.91 is: 31,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,297.69 : 31,946.58 = 21,266.91 : x
  2. Step 2: Convert to fraction form
    21,297.69/31,946.58 = 21,266.91/x
  3. Step 3: Cross multiply
    21,297.69x = 31,946.58 × 21,266.91
  4. Step 4: Simplify right side
    21,297.69x = 679,405,041.67
  5. Step 5: Solve for x
    x = 679,405,041.67/21,297.69
  6. Step 6: Final answer
    x = 31,900.41

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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.