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Finding the Fourth Proportional to 16,158.37, 22,298.53 and 9,084.80

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Solution

The fourth proportional to 16,158.37, 22,298.53 and 9,084.80 is: 12,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.37 : 22,298.53 = 9,084.80 : x
  2. Step 2: Convert to fraction form
    16,158.37/22,298.53 = 9,084.80/x
  3. Step 3: Cross multiply
    16,158.37x = 22,298.53 × 9,084.80
  4. Step 4: Simplify right side
    16,158.37x = 202,577,685.34
  5. Step 5: Solve for x
    x = 202,577,685.34/16,158.37
  6. Step 6: Final answer
    x = 12,537.01

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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.