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Finding the Fourth Proportional to 16,657.19, 22,989.45 and 9,583.16

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Solution

The fourth proportional to 16,657.19, 22,989.45 and 9,583.16 is: 13,226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.19 : 22,989.45 = 9,583.16 : x
  2. Step 2: Convert to fraction form
    16,657.19/22,989.45 = 9,583.16/x
  3. Step 3: Cross multiply
    16,657.19x = 22,989.45 × 9,583.16
  4. Step 4: Simplify right side
    16,657.19x = 220,311,462.71
  5. Step 5: Solve for x
    x = 220,311,462.71/16,657.19
  6. Step 6: Final answer
    x = 13,226.21

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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.