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Finding the Fourth Proportional to 16,160.64, 22,303.04 and 9,445.36

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Solution

The fourth proportional to 16,160.64, 22,303.04 and 9,445.36 is: 13,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.64 : 22,303.04 = 9,445.36 : x
  2. Step 2: Convert to fraction form
    16,160.64/22,303.04 = 9,445.36/x
  3. Step 3: Cross multiply
    16,160.64x = 22,303.04 × 9,445.36
  4. Step 4: Simplify right side
    16,160.64x = 210,660,241.89
  5. Step 5: Solve for x
    x = 210,660,241.89/16,160.64
  6. Step 6: Final answer
    x = 13,035.39

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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.