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Finding the Fourth Proportional to 28,136.16, 42,206.46 and 9,416.28

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Solution

The fourth proportional to 28,136.16, 42,206.46 and 9,416.28 is: 14,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,136.16 : 42,206.46 = 9,416.28 : x
  2. Step 2: Convert to fraction form
    28,136.16/42,206.46 = 9,416.28/x
  3. Step 3: Cross multiply
    28,136.16x = 42,206.46 × 9,416.28
  4. Step 4: Simplify right side
    28,136.16x = 397,427,845.17
  5. Step 5: Solve for x
    x = 397,427,845.17/28,136.16
  6. Step 6: Final answer
    x = 14,125.16

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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.