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Finding the Fourth Proportional to 16,298, 22,484.28 and 12,514.64

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Solution

The fourth proportional to 16,298, 22,484.28 and 12,514.64 is: 17,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298 : 22,484.28 = 12,514.64 : x
  2. Step 2: Convert to fraction form
    16,298/22,484.28 = 12,514.64/x
  3. Step 3: Cross multiply
    16,298x = 22,484.28 × 12,514.64
  4. Step 4: Simplify right side
    16,298x = 281,382,669.86
  5. Step 5: Solve for x
    x = 281,382,669.86/16,298
  6. Step 6: Final answer
    x = 17,264.86

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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.