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Finding the Fourth Proportional to 16,404.56, 22,649.16 and 10,126.16

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Solution

The fourth proportional to 16,404.56, 22,649.16 and 10,126.16 is: 13,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,404.56 : 22,649.16 = 10,126.16 : x
  2. Step 2: Convert to fraction form
    16,404.56/22,649.16 = 10,126.16/x
  3. Step 3: Cross multiply
    16,404.56x = 22,649.16 × 10,126.16
  4. Step 4: Simplify right side
    16,404.56x = 229,349,018.03
  5. Step 5: Solve for x
    x = 229,349,018.03/16,404.56
  6. Step 6: Final answer
    x = 13,980.81

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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.