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Finding the Fourth Proportional to 16,075.86, 22,182.69 and 9,001.14

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Solution

The fourth proportional to 16,075.86, 22,182.69 and 9,001.14 is: 12,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.86 : 22,182.69 = 9,001.14 : x
  2. Step 2: Convert to fraction form
    16,075.86/22,182.69 = 9,001.14/x
  3. Step 3: Cross multiply
    16,075.86x = 22,182.69 × 9,001.14
  4. Step 4: Simplify right side
    16,075.86x = 199,669,498.27
  5. Step 5: Solve for x
    x = 199,669,498.27/16,075.86
  6. Step 6: Final answer
    x = 12,420.46

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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.