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Finding the Fourth Proportional to 16,346.90, 22,559.15 and 9,274.38

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Solution

The fourth proportional to 16,346.90, 22,559.15 and 9,274.38 is: 12,798.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.90 : 22,559.15 = 9,274.38 : x
  2. Step 2: Convert to fraction form
    16,346.90/22,559.15 = 9,274.38/x
  3. Step 3: Cross multiply
    16,346.90x = 22,559.15 × 9,274.38
  4. Step 4: Simplify right side
    16,346.90x = 209,222,152.76
  5. Step 5: Solve for x
    x = 209,222,152.76/16,346.90
  6. Step 6: Final answer
    x = 12,798.89

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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.