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Finding the Fourth Proportional to 16,927.76, 25,389.48 and 6,536

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Solution

The fourth proportional to 16,927.76, 25,389.48 and 6,536 is: 9,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,927.76 : 25,389.48 = 6,536 : x
  2. Step 2: Convert to fraction form
    16,927.76/25,389.48 = 6,536/x
  3. Step 3: Cross multiply
    16,927.76x = 25,389.48 × 6,536
  4. Step 4: Simplify right side
    16,927.76x = 165,945,641.28
  5. Step 5: Solve for x
    x = 165,945,641.28/16,927.76
  6. Step 6: Final answer
    x = 9,803.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.