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Finding the Fourth Proportional to 14,071.76, 19,418.17 and 7,697.15

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Solution

The fourth proportional to 14,071.76, 19,418.17 and 7,697.15 is: 10,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.76 : 19,418.17 = 7,697.15 : x
  2. Step 2: Convert to fraction form
    14,071.76/19,418.17 = 7,697.15/x
  3. Step 3: Cross multiply
    14,071.76x = 19,418.17 × 7,697.15
  4. Step 4: Simplify right side
    14,071.76x = 149,464,567.22
  5. Step 5: Solve for x
    x = 149,464,567.22/14,071.76
  6. Step 6: Final answer
    x = 10,621.60

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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.