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Finding the Fourth Proportional to 12,407.14, 17,116.98 and 7,099.12

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Solution

The fourth proportional to 12,407.14, 17,116.98 and 7,099.12 is: 9,794.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.14 : 17,116.98 = 7,099.12 : x
  2. Step 2: Convert to fraction form
    12,407.14/17,116.98 = 7,099.12/x
  3. Step 3: Cross multiply
    12,407.14x = 17,116.98 × 7,099.12
  4. Step 4: Simplify right side
    12,407.14x = 121,515,495.06
  5. Step 5: Solve for x
    x = 121,515,495.06/12,407.14
  6. Step 6: Final answer
    x = 9,794.00

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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.