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Finding the Fourth Proportional to 36,586.47, 54,878.93 and 16,865

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Solution

The fourth proportional to 36,586.47, 54,878.93 and 16,865 is: 25,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586.47 : 54,878.93 = 16,865 : x
  2. Step 2: Convert to fraction form
    36,586.47/54,878.93 = 16,865/x
  3. Step 3: Cross multiply
    36,586.47x = 54,878.93 × 16,865
  4. Step 4: Simplify right side
    36,586.47x = 925,533,154.45
  5. Step 5: Solve for x
    x = 925,533,154.45/36,586.47
  6. Step 6: Final answer
    x = 25,297.14

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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.