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Finding the Fourth Proportional to 22,233, 30,681.86 and 12,297.64

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Solution

The fourth proportional to 22,233, 30,681.86 and 12,297.64 is: 16,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,233 : 30,681.86 = 12,297.64 : x
  2. Step 2: Convert to fraction form
    22,233/30,681.86 = 12,297.64/x
  3. Step 3: Cross multiply
    22,233x = 30,681.86 × 12,297.64
  4. Step 4: Simplify right side
    22,233x = 377,314,468.81
  5. Step 5: Solve for x
    x = 377,314,468.81/22,233
  6. Step 6: Final answer
    x = 16,970.92

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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.