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Finding the Fourth Proportional to 12,419.58, 17,140.48 and 7,116.10

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Solution

The fourth proportional to 12,419.58, 17,140.48 and 7,116.10 is: 9,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.58 : 17,140.48 = 7,116.10 : x
  2. Step 2: Convert to fraction form
    12,419.58/17,140.48 = 7,116.10/x
  3. Step 3: Cross multiply
    12,419.58x = 17,140.48 × 7,116.10
  4. Step 4: Simplify right side
    12,419.58x = 121,973,369.73
  5. Step 5: Solve for x
    x = 121,973,369.73/12,419.58
  6. Step 6: Final answer
    x = 9,821.05

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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.