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Finding the Fourth Proportional to 24,031.69, 32,922.87 and 23,133.22

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Solution

The fourth proportional to 24,031.69, 32,922.87 and 23,133.22 is: 31,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,031.69 : 32,922.87 = 23,133.22 : x
  2. Step 2: Convert to fraction form
    24,031.69/32,922.87 = 23,133.22/x
  3. Step 3: Cross multiply
    24,031.69x = 32,922.87 × 23,133.22
  4. Step 4: Simplify right side
    24,031.69x = 761,611,994.74
  5. Step 5: Solve for x
    x = 761,611,994.74/24,031.69
  6. Step 6: Final answer
    x = 31,691.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.