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Finding the Fourth Proportional to 16,582.95, 22,883.91 and 9,029.16

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Solution

The fourth proportional to 16,582.95, 22,883.91 and 9,029.16 is: 12,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.95 : 22,883.91 = 9,029.16 : x
  2. Step 2: Convert to fraction form
    16,582.95/22,883.91 = 9,029.16/x
  3. Step 3: Cross multiply
    16,582.95x = 22,883.91 × 9,029.16
  4. Step 4: Simplify right side
    16,582.95x = 206,622,484.82
  5. Step 5: Solve for x
    x = 206,622,484.82/16,582.95
  6. Step 6: Final answer
    x = 12,459.94

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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.