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Finding the Fourth Proportional to 19,865.25, 29,801.52 and 9,477

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Solution

The fourth proportional to 19,865.25, 29,801.52 and 9,477 is: 14,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.25 : 29,801.52 = 9,477 : x
  2. Step 2: Convert to fraction form
    19,865.25/29,801.52 = 9,477/x
  3. Step 3: Cross multiply
    19,865.25x = 29,801.52 × 9,477
  4. Step 4: Simplify right side
    19,865.25x = 282,429,005.04
  5. Step 5: Solve for x
    x = 282,429,005.04/19,865.25
  6. Step 6: Final answer
    x = 14,217.24

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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.