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Finding the Fourth Proportional to 12,416.64, 17,136.36 and 7,112.28

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Solution

The fourth proportional to 12,416.64, 17,136.36 and 7,112.28 is: 9,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.64 : 17,136.36 = 7,112.28 : x
  2. Step 2: Convert to fraction form
    12,416.64/17,136.36 = 7,112.28/x
  3. Step 3: Cross multiply
    12,416.64x = 17,136.36 × 7,112.28
  4. Step 4: Simplify right side
    12,416.64x = 121,878,590.50
  5. Step 5: Solve for x
    x = 121,878,590.50/12,416.64
  6. Step 6: Final answer
    x = 9,815.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.