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Finding the Fourth Proportional to 16,705.56, 23,064.30 and 10,427.16

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Solution

The fourth proportional to 16,705.56, 23,064.30 and 10,427.16 is: 14,396.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.56 : 23,064.30 = 10,427.16 : x
  2. Step 2: Convert to fraction form
    16,705.56/23,064.30 = 10,427.16/x
  3. Step 3: Cross multiply
    16,705.56x = 23,064.30 × 10,427.16
  4. Step 4: Simplify right side
    16,705.56x = 240,495,146.39
  5. Step 5: Solve for x
    x = 240,495,146.39/16,705.56
  6. Step 6: Final answer
    x = 14,396.11

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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.