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Finding the Fourth Proportional to 25,144.04, 37,710.30 and 11,297

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Solution

The fourth proportional to 25,144.04, 37,710.30 and 11,297 is: 16,942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.04 : 37,710.30 = 11,297 : x
  2. Step 2: Convert to fraction form
    25,144.04/37,710.30 = 11,297/x
  3. Step 3: Cross multiply
    25,144.04x = 37,710.30 × 11,297
  4. Step 4: Simplify right side
    25,144.04x = 426,013,259.10
  5. Step 5: Solve for x
    x = 426,013,259.10/25,144.04
  6. Step 6: Final answer
    x = 16,942.91

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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.