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Finding the Fourth Proportional to 13,931, 19,224.96 and 7,643.24

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Solution

The fourth proportional to 13,931, 19,224.96 and 7,643.24 is: 10,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931 : 19,224.96 = 7,643.24 : x
  2. Step 2: Convert to fraction form
    13,931/19,224.96 = 7,643.24/x
  3. Step 3: Cross multiply
    13,931x = 19,224.96 × 7,643.24
  4. Step 4: Simplify right side
    13,931x = 146,940,983.27
  5. Step 5: Solve for x
    x = 146,940,983.27/13,931
  6. Step 6: Final answer
    x = 10,547.77

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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.