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Finding the Fourth Proportional to 16,364.35, 22,582.26 and 9,290.32

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Solution

The fourth proportional to 16,364.35, 22,582.26 and 9,290.32 is: 12,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.35 : 22,582.26 = 9,290.32 : x
  2. Step 2: Convert to fraction form
    16,364.35/22,582.26 = 9,290.32/x
  3. Step 3: Cross multiply
    16,364.35x = 22,582.26 × 9,290.32
  4. Step 4: Simplify right side
    16,364.35x = 209,796,421.72
  5. Step 5: Solve for x
    x = 209,796,421.72/16,364.35
  6. Step 6: Final answer
    x = 12,820.33

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