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Finding the Fourth Proportional to 26,071.20, 35,978.52 and 14,134.68

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Solution

The fourth proportional to 26,071.20, 35,978.52 and 14,134.68 is: 19,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,071.20 : 35,978.52 = 14,134.68 : x
  2. Step 2: Convert to fraction form
    26,071.20/35,978.52 = 14,134.68/x
  3. Step 3: Cross multiply
    26,071.20x = 35,978.52 × 14,134.68
  4. Step 4: Simplify right side
    26,071.20x = 508,544,867.07
  5. Step 5: Solve for x
    x = 508,544,867.07/26,071.20
  6. Step 6: Final answer
    x = 19,506.00

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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.