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Finding the Fourth Proportional to 16,705.32, 25,070.04 and 13,457.64

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Solution

The fourth proportional to 16,705.32, 25,070.04 and 13,457.64 is: 20,196.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.32 : 25,070.04 = 13,457.64 : x
  2. Step 2: Convert to fraction form
    16,705.32/25,070.04 = 13,457.64/x
  3. Step 3: Cross multiply
    16,705.32x = 25,070.04 × 13,457.64
  4. Step 4: Simplify right side
    16,705.32x = 337,383,573.11
  5. Step 5: Solve for x
    x = 337,383,573.11/16,705.32
  6. Step 6: Final answer
    x = 20,196.18

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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.