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Finding the Fourth Proportional to 20,706.30, 31,054.59 and 7,551.50

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Solution

The fourth proportional to 20,706.30, 31,054.59 and 7,551.50 is: 11,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.30 : 31,054.59 = 7,551.50 : x
  2. Step 2: Convert to fraction form
    20,706.30/31,054.59 = 7,551.50/x
  3. Step 3: Cross multiply
    20,706.30x = 31,054.59 × 7,551.50
  4. Step 4: Simplify right side
    20,706.30x = 234,508,581.11
  5. Step 5: Solve for x
    x = 234,508,581.11/20,706.30
  6. Step 6: Final answer
    x = 11,325.47

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Why These Related Problems?

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