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Finding the Fourth Proportional to 12,419.95, 17,138.23 and 7,114.99

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Solution

The fourth proportional to 12,419.95, 17,138.23 and 7,114.99 is: 9,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.95 : 17,138.23 = 7,114.99 : x
  2. Step 2: Convert to fraction form
    12,419.95/17,138.23 = 7,114.99/x
  3. Step 3: Cross multiply
    12,419.95x = 17,138.23 × 7,114.99
  4. Step 4: Simplify right side
    12,419.95x = 121,938,335.07
  5. Step 5: Solve for x
    x = 121,938,335.07/12,419.95
  6. Step 6: Final answer
    x = 9,817.94

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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.