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Finding the Fourth Proportional to 26,034.72, 35,928.72 and 14,856

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Solution

The fourth proportional to 26,034.72, 35,928.72 and 14,856 is: 20,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,034.72 : 35,928.72 = 14,856 : x
  2. Step 2: Convert to fraction form
    26,034.72/35,928.72 = 14,856/x
  3. Step 3: Cross multiply
    26,034.72x = 35,928.72 × 14,856
  4. Step 4: Simplify right side
    26,034.72x = 533,757,064.32
  5. Step 5: Solve for x
    x = 533,757,064.32/26,034.72
  6. Step 6: Final answer
    x = 20,501.74

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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.