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Finding the Fourth Proportional to 19,709.40, 29,569.11 and 5,669.13

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Solution

The fourth proportional to 19,709.40, 29,569.11 and 5,669.13 is: 8,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.40 : 29,569.11 = 5,669.13 : x
  2. Step 2: Convert to fraction form
    19,709.40/29,569.11 = 5,669.13/x
  3. Step 3: Cross multiply
    19,709.40x = 29,569.11 × 5,669.13
  4. Step 4: Simplify right side
    19,709.40x = 167,631,128.57
  5. Step 5: Solve for x
    x = 167,631,128.57/19,709.40
  6. Step 6: Final answer
    x = 8,505.14

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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.