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Finding the Fourth Proportional to 16,730.70, 23,117.04 and 16,132

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Solution

The fourth proportional to 16,730.70, 23,117.04 and 16,132 is: 22,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.70 : 23,117.04 = 16,132 : x
  2. Step 2: Convert to fraction form
    16,730.70/23,117.04 = 16,132/x
  3. Step 3: Cross multiply
    16,730.70x = 23,117.04 × 16,132
  4. Step 4: Simplify right side
    16,730.70x = 372,924,089.28
  5. Step 5: Solve for x
    x = 372,924,089.28/16,730.70
  6. Step 6: Final answer
    x = 22,289.81

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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.