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Finding the Fourth Proportional to 19,856.54, 29,770.22 and 9,475.58

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Solution

The fourth proportional to 19,856.54, 29,770.22 and 9,475.58 is: 14,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.54 : 29,770.22 = 9,475.58 : x
  2. Step 2: Convert to fraction form
    19,856.54/29,770.22 = 9,475.58/x
  3. Step 3: Cross multiply
    19,856.54x = 29,770.22 × 9,475.58
  4. Step 4: Simplify right side
    19,856.54x = 282,090,101.23
  5. Step 5: Solve for x
    x = 282,090,101.23/19,856.54
  6. Step 6: Final answer
    x = 14,206.41

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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.