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Finding the Fourth Proportional to 12,950.64, 19,427.88 and 4,742

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Solution

The fourth proportional to 12,950.64, 19,427.88 and 4,742 is: 7,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.64 : 19,427.88 = 4,742 : x
  2. Step 2: Convert to fraction form
    12,950.64/19,427.88 = 4,742/x
  3. Step 3: Cross multiply
    12,950.64x = 19,427.88 × 4,742
  4. Step 4: Simplify right side
    12,950.64x = 92,127,006.96
  5. Step 5: Solve for x
    x = 92,127,006.96/12,950.64
  6. Step 6: Final answer
    x = 7,113.70

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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.