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Finding the Fourth Proportional to 16,829.47, 23,226 and 9,277.14

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Solution

The fourth proportional to 16,829.47, 23,226 and 9,277.14 is: 12,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.47 : 23,226 = 9,277.14 : x
  2. Step 2: Convert to fraction form
    16,829.47/23,226 = 9,277.14/x
  3. Step 3: Cross multiply
    16,829.47x = 23,226 × 9,277.14
  4. Step 4: Simplify right side
    16,829.47x = 215,470,853.64
  5. Step 5: Solve for x
    x = 215,470,853.64/16,829.47
  6. Step 6: Final answer
    x = 12,803.19

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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.