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Finding the Fourth Proportional to 22,974.59, 31,707.88 and 14,020.20

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Solution

The fourth proportional to 22,974.59, 31,707.88 and 14,020.20 is: 19,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.59 : 31,707.88 = 14,020.20 : x
  2. Step 2: Convert to fraction form
    22,974.59/31,707.88 = 14,020.20/x
  3. Step 3: Cross multiply
    22,974.59x = 31,707.88 × 14,020.20
  4. Step 4: Simplify right side
    22,974.59x = 444,550,784.13
  5. Step 5: Solve for x
    x = 444,550,784.13/22,974.59
  6. Step 6: Final answer
    x = 19,349.67

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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.