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Finding the Fourth Proportional to 30,676.52, 46,014.66 and 9,618.14

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Solution

The fourth proportional to 30,676.52, 46,014.66 and 9,618.14 is: 14,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.52 : 46,014.66 = 9,618.14 : x
  2. Step 2: Convert to fraction form
    30,676.52/46,014.66 = 9,618.14/x
  3. Step 3: Cross multiply
    30,676.52x = 46,014.66 × 9,618.14
  4. Step 4: Simplify right side
    30,676.52x = 442,575,211.86
  5. Step 5: Solve for x
    x = 442,575,211.86/30,676.52
  6. Step 6: Final answer
    x = 14,427.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.