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Finding the Fourth Proportional to 16,598.48, 22,905.48 and 9,146

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Solution

The fourth proportional to 16,598.48, 22,905.48 and 9,146 is: 12,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.48 : 22,905.48 = 9,146 : x
  2. Step 2: Convert to fraction form
    16,598.48/22,905.48 = 9,146/x
  3. Step 3: Cross multiply
    16,598.48x = 22,905.48 × 9,146
  4. Step 4: Simplify right side
    16,598.48x = 209,493,520.08
  5. Step 5: Solve for x
    x = 209,493,520.08/16,598.48
  6. Step 6: Final answer
    x = 12,621.25

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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.