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Finding the Fourth Proportional to 26,065.16, 35,970.02 and 14,128.46

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Solution

The fourth proportional to 26,065.16, 35,970.02 and 14,128.46 is: 19,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.16 : 35,970.02 = 14,128.46 : x
  2. Step 2: Convert to fraction form
    26,065.16/35,970.02 = 14,128.46/x
  3. Step 3: Cross multiply
    26,065.16x = 35,970.02 × 14,128.46
  4. Step 4: Simplify right side
    26,065.16x = 508,200,738.28
  5. Step 5: Solve for x
    x = 508,200,738.28/26,065.16
  6. Step 6: Final answer
    x = 19,497.32

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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.