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Finding the Fourth Proportional to 19,761.34, 29,641.58 and 4,970.20

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Solution

The fourth proportional to 19,761.34, 29,641.58 and 4,970.20 is: 7,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,761.34 : 29,641.58 = 4,970.20 : x
  2. Step 2: Convert to fraction form
    19,761.34/29,641.58 = 4,970.20/x
  3. Step 3: Cross multiply
    19,761.34x = 29,641.58 × 4,970.20
  4. Step 4: Simplify right side
    19,761.34x = 147,324,580.92
  5. Step 5: Solve for x
    x = 147,324,580.92/19,761.34
  6. Step 6: Final answer
    x = 7,455.19

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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.