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Finding the Fourth Proportional to 22,589.71, 31,173.32 and 12,518.07

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Solution

The fourth proportional to 22,589.71, 31,173.32 and 12,518.07 is: 17,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.71 : 31,173.32 = 12,518.07 : x
  2. Step 2: Convert to fraction form
    22,589.71/31,173.32 = 12,518.07/x
  3. Step 3: Cross multiply
    22,589.71x = 31,173.32 × 12,518.07
  4. Step 4: Simplify right side
    22,589.71x = 390,229,801.89
  5. Step 5: Solve for x
    x = 390,229,801.89/22,589.71
  6. Step 6: Final answer
    x = 17,274.67

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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.