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Finding the Fourth Proportional to 20,069.54, 30,106.74 and 9,674

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Solution

The fourth proportional to 20,069.54, 30,106.74 and 9,674 is: 14,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069.54 : 30,106.74 = 9,674 : x
  2. Step 2: Convert to fraction form
    20,069.54/30,106.74 = 9,674/x
  3. Step 3: Cross multiply
    20,069.54x = 30,106.74 × 9,674
  4. Step 4: Simplify right side
    20,069.54x = 291,252,602.76
  5. Step 5: Solve for x
    x = 291,252,602.76/20,069.54
  6. Step 6: Final answer
    x = 14,512.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.