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Finding the Fourth Proportional to 13,930.92, 19,225.01 and 7,643.30

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Solution

The fourth proportional to 13,930.92, 19,225.01 and 7,643.30 is: 10,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.92 : 19,225.01 = 7,643.30 : x
  2. Step 2: Convert to fraction form
    13,930.92/19,225.01 = 7,643.30/x
  3. Step 3: Cross multiply
    13,930.92x = 19,225.01 × 7,643.30
  4. Step 4: Simplify right side
    13,930.92x = 146,942,485.35
  5. Step 5: Solve for x
    x = 146,942,485.35/13,930.92
  6. Step 6: Final answer
    x = 10,547.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.