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Finding the Fourth Proportional to 13,215.94, 19,821.74 and 4,894

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Solution

The fourth proportional to 13,215.94, 19,821.74 and 4,894 is: 7,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.94 : 19,821.74 = 4,894 : x
  2. Step 2: Convert to fraction form
    13,215.94/19,821.74 = 4,894/x
  3. Step 3: Cross multiply
    13,215.94x = 19,821.74 × 4,894
  4. Step 4: Simplify right side
    13,215.94x = 97,007,595.56
  5. Step 5: Solve for x
    x = 97,007,595.56/13,215.94
  6. Step 6: Final answer
    x = 7,340.20

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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.