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Finding the Fourth Proportional to 13,930.63, 19,224.16 and 7,642.96

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Solution

The fourth proportional to 13,930.63, 19,224.16 and 7,642.96 is: 10,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.63 : 19,224.16 = 7,642.96 : x
  2. Step 2: Convert to fraction form
    13,930.63/19,224.16 = 7,642.96/x
  3. Step 3: Cross multiply
    13,930.63x = 19,224.16 × 7,642.96
  4. Step 4: Simplify right side
    13,930.63x = 146,929,485.91
  5. Step 5: Solve for x
    x = 146,929,485.91/13,930.63
  6. Step 6: Final answer
    x = 10,547.22

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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.