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Finding the Fourth Proportional to 22,493.30, 31,041.05 and 12,421.70

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Solution

The fourth proportional to 22,493.30, 31,041.05 and 12,421.70 is: 17,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493.30 : 31,041.05 = 12,421.70 : x
  2. Step 2: Convert to fraction form
    22,493.30/31,041.05 = 12,421.70/x
  3. Step 3: Cross multiply
    22,493.30x = 31,041.05 × 12,421.70
  4. Step 4: Simplify right side
    22,493.30x = 385,582,719.42
  5. Step 5: Solve for x
    x = 385,582,719.42/22,493.30
  6. Step 6: Final answer
    x = 17,142.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.