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Finding the Fourth Proportional to 16,162.40, 22,303.68 and 9,090.32

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Solution

The fourth proportional to 16,162.40, 22,303.68 and 9,090.32 is: 12,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.40 : 22,303.68 = 9,090.32 : x
  2. Step 2: Convert to fraction form
    16,162.40/22,303.68 = 9,090.32/x
  3. Step 3: Cross multiply
    16,162.40x = 22,303.68 × 9,090.32
  4. Step 4: Simplify right side
    16,162.40x = 202,747,588.38
  5. Step 5: Solve for x
    x = 202,747,588.38/16,162.40
  6. Step 6: Final answer
    x = 12,544.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.