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Finding the Fourth Proportional to 21,781, 30,056.16 and 12,349.36

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Solution

The fourth proportional to 21,781, 30,056.16 and 12,349.36 is: 17,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781 : 30,056.16 = 12,349.36 : x
  2. Step 2: Convert to fraction form
    21,781/30,056.16 = 12,349.36/x
  3. Step 3: Cross multiply
    21,781x = 30,056.16 × 12,349.36
  4. Step 4: Simplify right side
    21,781x = 371,174,340.06
  5. Step 5: Solve for x
    x = 371,174,340.06/21,781
  6. Step 6: Final answer
    x = 17,041.20

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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.