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Finding the Fourth Proportional to 12,994.64, 19,491.96 and 4,567.76

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Solution

The fourth proportional to 12,994.64, 19,491.96 and 4,567.76 is: 6,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.64 : 19,491.96 = 4,567.76 : x
  2. Step 2: Convert to fraction form
    12,994.64/19,491.96 = 4,567.76/x
  3. Step 3: Cross multiply
    12,994.64x = 19,491.96 × 4,567.76
  4. Step 4: Simplify right side
    12,994.64x = 89,034,581.55
  5. Step 5: Solve for x
    x = 89,034,581.55/12,994.64
  6. Step 6: Final answer
    x = 6,851.64

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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.