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Finding the Fourth Proportional to 19,564.80, 29,347.14 and 6,923.94

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Solution

The fourth proportional to 19,564.80, 29,347.14 and 6,923.94 is: 10,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.80 : 29,347.14 = 6,923.94 : x
  2. Step 2: Convert to fraction form
    19,564.80/29,347.14 = 6,923.94/x
  3. Step 3: Cross multiply
    19,564.80x = 29,347.14 × 6,923.94
  4. Step 4: Simplify right side
    19,564.80x = 203,197,836.53
  5. Step 5: Solve for x
    x = 203,197,836.53/19,564.80
  6. Step 6: Final answer
    x = 10,385.89

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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.