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Finding the Fourth Proportional to 16,582.16, 24,881.88 and 7,346

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Solution

The fourth proportional to 16,582.16, 24,881.88 and 7,346 is: 11,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.16 : 24,881.88 = 7,346 : x
  2. Step 2: Convert to fraction form
    16,582.16/24,881.88 = 7,346/x
  3. Step 3: Cross multiply
    16,582.16x = 24,881.88 × 7,346
  4. Step 4: Simplify right side
    16,582.16x = 182,782,290.48
  5. Step 5: Solve for x
    x = 182,782,290.48/16,582.16
  6. Step 6: Final answer
    x = 11,022.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.