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Finding the Fourth Proportional to 10,194.24, 14,068.62 and 7,671.82

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Solution

The fourth proportional to 10,194.24, 14,068.62 and 7,671.82 is: 10,587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.24 : 14,068.62 = 7,671.82 : x
  2. Step 2: Convert to fraction form
    10,194.24/14,068.62 = 7,671.82/x
  3. Step 3: Cross multiply
    10,194.24x = 14,068.62 × 7,671.82
  4. Step 4: Simplify right side
    10,194.24x = 107,931,920.29
  5. Step 5: Solve for x
    x = 107,931,920.29/10,194.24
  6. Step 6: Final answer
    x = 10,587.54

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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.