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Finding the Fourth Proportional to 26,064.66, 35,969.22 and 14,128

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Solution

The fourth proportional to 26,064.66, 35,969.22 and 14,128 is: 19,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,064.66 : 35,969.22 = 14,128 : x
  2. Step 2: Convert to fraction form
    26,064.66/35,969.22 = 14,128/x
  3. Step 3: Cross multiply
    26,064.66x = 35,969.22 × 14,128
  4. Step 4: Simplify right side
    26,064.66x = 508,173,140.16
  5. Step 5: Solve for x
    x = 508,173,140.16/26,064.66
  6. Step 6: Final answer
    x = 19,496.63

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Why These Related Problems?

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