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Finding the Fourth Proportional to 21,776, 30,053.60 and 12,944

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Solution

The fourth proportional to 21,776, 30,053.60 and 12,944 is: 17,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,776 : 30,053.60 = 12,944 : x
  2. Step 2: Convert to fraction form
    21,776/30,053.60 = 12,944/x
  3. Step 3: Cross multiply
    21,776x = 30,053.60 × 12,944
  4. Step 4: Simplify right side
    21,776x = 389,013,798.40
  5. Step 5: Solve for x
    x = 389,013,798.40/21,776
  6. Step 6: Final answer
    x = 17,864.34

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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.