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Finding the Fourth Proportional to 26,065.76, 35,970.78 and 14,129.09

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Solution

The fourth proportional to 26,065.76, 35,970.78 and 14,129.09 is: 19,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.76 : 35,970.78 = 14,129.09 : x
  2. Step 2: Convert to fraction form
    26,065.76/35,970.78 = 14,129.09/x
  3. Step 3: Cross multiply
    26,065.76x = 35,970.78 × 14,129.09
  4. Step 4: Simplify right side
    26,065.76x = 508,234,208.14
  5. Step 5: Solve for x
    x = 508,234,208.14/26,065.76
  6. Step 6: Final answer
    x = 19,498.16

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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.