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Finding the Fourth Proportional to 16,730.70, 23,088.84 and 9,657.50

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Solution

The fourth proportional to 16,730.70, 23,088.84 and 9,657.50 is: 13,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.70 : 23,088.84 = 9,657.50 : x
  2. Step 2: Convert to fraction form
    16,730.70/23,088.84 = 9,657.50/x
  3. Step 3: Cross multiply
    16,730.70x = 23,088.84 × 9,657.50
  4. Step 4: Simplify right side
    16,730.70x = 222,980,472.30
  5. Step 5: Solve for x
    x = 222,980,472.30/16,730.70
  6. Step 6: Final answer
    x = 13,327.62

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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.