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Finding the Fourth Proportional to 26,825.64, 37,017 and 14,889.28

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Solution

The fourth proportional to 26,825.64, 37,017 and 14,889.28 is: 20,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,825.64 : 37,017 = 14,889.28 : x
  2. Step 2: Convert to fraction form
    26,825.64/37,017 = 14,889.28/x
  3. Step 3: Cross multiply
    26,825.64x = 37,017 × 14,889.28
  4. Step 4: Simplify right side
    26,825.64x = 551,156,477.76
  5. Step 5: Solve for x
    x = 551,156,477.76/26,825.64
  6. Step 6: Final answer
    x = 20,545.88

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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.