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Finding the Fourth Proportional to 22,408.56, 30,931.20 and 12,986.64

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Solution

The fourth proportional to 22,408.56, 30,931.20 and 12,986.64 is: 17,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,408.56 : 30,931.20 = 12,986.64 : x
  2. Step 2: Convert to fraction form
    22,408.56/30,931.20 = 12,986.64/x
  3. Step 3: Cross multiply
    22,408.56x = 30,931.20 × 12,986.64
  4. Step 4: Simplify right side
    22,408.56x = 401,692,359.17
  5. Step 5: Solve for x
    x = 401,692,359.17/22,408.56
  6. Step 6: Final answer
    x = 17,925.84

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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.