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Finding the Fourth Proportional to 22,452.55, 30,984.74 and 12,381.40

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Solution

The fourth proportional to 22,452.55, 30,984.74 and 12,381.40 is: 17,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452.55 : 30,984.74 = 12,381.40 : x
  2. Step 2: Convert to fraction form
    22,452.55/30,984.74 = 12,381.40/x
  3. Step 3: Cross multiply
    22,452.55x = 30,984.74 × 12,381.40
  4. Step 4: Simplify right side
    22,452.55x = 383,634,459.84
  5. Step 5: Solve for x
    x = 383,634,459.84/22,452.55
  6. Step 6: Final answer
    x = 17,086.45

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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.