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Finding the Fourth Proportional to 16,402.44, 22,636.28 and 12,416.52

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Solution

The fourth proportional to 16,402.44, 22,636.28 and 12,416.52 is: 17,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.44 : 22,636.28 = 12,416.52 : x
  2. Step 2: Convert to fraction form
    16,402.44/22,636.28 = 12,416.52/x
  3. Step 3: Cross multiply
    16,402.44x = 22,636.28 × 12,416.52
  4. Step 4: Simplify right side
    16,402.44x = 281,063,823.35
  5. Step 5: Solve for x
    x = 281,063,823.35/16,402.44
  6. Step 6: Final answer
    x = 17,135.49

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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.