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Finding the Fourth Proportional to 16,598.16, 22,905.72 and 9,146.16

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Solution

The fourth proportional to 16,598.16, 22,905.72 and 9,146.16 is: 12,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.16 : 22,905.72 = 9,146.16 : x
  2. Step 2: Convert to fraction form
    16,598.16/22,905.72 = 9,146.16/x
  3. Step 3: Cross multiply
    16,598.16x = 22,905.72 × 9,146.16
  4. Step 4: Simplify right side
    16,598.16x = 209,499,380.04
  5. Step 5: Solve for x
    x = 209,499,380.04/16,598.16
  6. Step 6: Final answer
    x = 12,621.84

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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.