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Finding the Fourth Proportional to 13,930.88, 19,224.60 and 7,643.12

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Solution

The fourth proportional to 13,930.88, 19,224.60 and 7,643.12 is: 10,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.88 : 19,224.60 = 7,643.12 : x
  2. Step 2: Convert to fraction form
    13,930.88/19,224.60 = 7,643.12/x
  3. Step 3: Cross multiply
    13,930.88x = 19,224.60 × 7,643.12
  4. Step 4: Simplify right side
    13,930.88x = 146,935,924.75
  5. Step 5: Solve for x
    x = 146,935,924.75/13,930.88
  6. Step 6: Final answer
    x = 10,547.50

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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.