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Finding the Fourth Proportional to 16,705.15, 24,866.84 and 16,456

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Solution

The fourth proportional to 16,705.15, 24,866.84 and 16,456 is: 24,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.15 : 24,866.84 = 16,456 : x
  2. Step 2: Convert to fraction form
    16,705.15/24,866.84 = 16,456/x
  3. Step 3: Cross multiply
    16,705.15x = 24,866.84 × 16,456
  4. Step 4: Simplify right side
    16,705.15x = 409,208,719.04
  5. Step 5: Solve for x
    x = 409,208,719.04/16,705.15
  6. Step 6: Final answer
    x = 24,495.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.