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Finding the Fourth Proportional to 14,116.18, 19,479.88 and 7,742.44

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Solution

The fourth proportional to 14,116.18, 19,479.88 and 7,742.44 is: 10,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.18 : 19,479.88 = 7,742.44 : x
  2. Step 2: Convert to fraction form
    14,116.18/19,479.88 = 7,742.44/x
  3. Step 3: Cross multiply
    14,116.18x = 19,479.88 × 7,742.44
  4. Step 4: Simplify right side
    14,116.18x = 150,821,802.11
  5. Step 5: Solve for x
    x = 150,821,802.11/14,116.18
  6. Step 6: Final answer
    x = 10,684.32

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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.