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Finding the Fourth Proportional to 16,011.14, 22,094.91 and 9,297.32

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Solution

The fourth proportional to 16,011.14, 22,094.91 and 9,297.32 is: 12,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.14 : 22,094.91 = 9,297.32 : x
  2. Step 2: Convert to fraction form
    16,011.14/22,094.91 = 9,297.32/x
  3. Step 3: Cross multiply
    16,011.14x = 22,094.91 × 9,297.32
  4. Step 4: Simplify right side
    16,011.14x = 205,423,338.17
  5. Step 5: Solve for x
    x = 205,423,338.17/16,011.14
  6. Step 6: Final answer
    x = 12,830.03

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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.