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Finding the Fourth Proportional to 19,894.16, 29,835.15 and 6,564.71

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Solution

The fourth proportional to 19,894.16, 29,835.15 and 6,564.71 is: 9,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.16 : 29,835.15 = 6,564.71 : x
  2. Step 2: Convert to fraction form
    19,894.16/29,835.15 = 6,564.71/x
  3. Step 3: Cross multiply
    19,894.16x = 29,835.15 × 6,564.71
  4. Step 4: Simplify right side
    19,894.16x = 195,859,107.56
  5. Step 5: Solve for x
    x = 195,859,107.56/19,894.16
  6. Step 6: Final answer
    x = 9,845.06

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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.