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Finding the Fourth Proportional to 16,336.16, 22,543.90 and 9,262.58

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Solution

The fourth proportional to 16,336.16, 22,543.90 and 9,262.58 is: 12,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.16 : 22,543.90 = 9,262.58 : x
  2. Step 2: Convert to fraction form
    16,336.16/22,543.90 = 9,262.58/x
  3. Step 3: Cross multiply
    16,336.16x = 22,543.90 × 9,262.58
  4. Step 4: Simplify right side
    16,336.16x = 208,814,677.26
  5. Step 5: Solve for x
    x = 208,814,677.26/16,336.16
  6. Step 6: Final answer
    x = 12,782.36

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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.