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Finding the Fourth Proportional to 20,705.34, 31,061.80 and 9,610.50

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Solution

The fourth proportional to 20,705.34, 31,061.80 and 9,610.50 is: 14,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.34 : 31,061.80 = 9,610.50 : x
  2. Step 2: Convert to fraction form
    20,705.34/31,061.80 = 9,610.50/x
  3. Step 3: Cross multiply
    20,705.34x = 31,061.80 × 9,610.50
  4. Step 4: Simplify right side
    20,705.34x = 298,519,428.90
  5. Step 5: Solve for x
    x = 298,519,428.90/20,705.34
  6. Step 6: Final answer
    x = 14,417.51

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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.