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Finding the Fourth Proportional to 22,551.72, 31,118.34 and 13,113

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Solution

The fourth proportional to 22,551.72, 31,118.34 and 13,113 is: 18,094.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.72 : 31,118.34 = 13,113 : x
  2. Step 2: Convert to fraction form
    22,551.72/31,118.34 = 13,113/x
  3. Step 3: Cross multiply
    22,551.72x = 31,118.34 × 13,113
  4. Step 4: Simplify right side
    22,551.72x = 408,054,792.42
  5. Step 5: Solve for x
    x = 408,054,792.42/22,551.72
  6. Step 6: Final answer
    x = 18,094.18

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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.