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Finding the Fourth Proportional to 19,558.28, 29,349.72 and 9,698.12

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Solution

The fourth proportional to 19,558.28, 29,349.72 and 9,698.12 is: 14,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,558.28 : 29,349.72 = 9,698.12 : x
  2. Step 2: Convert to fraction form
    19,558.28/29,349.72 = 9,698.12/x
  3. Step 3: Cross multiply
    19,558.28x = 29,349.72 × 9,698.12
  4. Step 4: Simplify right side
    19,558.28x = 284,637,106.53
  5. Step 5: Solve for x
    x = 284,637,106.53/19,558.28
  6. Step 6: Final answer
    x = 14,553.28

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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.