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Finding the Fourth Proportional to 12,894, 19,341.72 and 3,660.72

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Solution

The fourth proportional to 12,894, 19,341.72 and 3,660.72 is: 5,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 19,341.72 = 3,660.72 : x
  2. Step 2: Convert to fraction form
    12,894/19,341.72 = 3,660.72/x
  3. Step 3: Cross multiply
    12,894x = 19,341.72 × 3,660.72
  4. Step 4: Simplify right side
    12,894x = 70,804,621.24
  5. Step 5: Solve for x
    x = 70,804,621.24/12,894
  6. Step 6: Final answer
    x = 5,491.28

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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.