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Finding the Fourth Proportional to 26,795.60, 36,976.52 and 14,858

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Solution

The fourth proportional to 26,795.60, 36,976.52 and 14,858 is: 20,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,795.60 : 36,976.52 = 14,858 : x
  2. Step 2: Convert to fraction form
    26,795.60/36,976.52 = 14,858/x
  3. Step 3: Cross multiply
    26,795.60x = 36,976.52 × 14,858
  4. Step 4: Simplify right side
    26,795.60x = 549,397,134.16
  5. Step 5: Solve for x
    x = 549,397,134.16/26,795.60
  6. Step 6: Final answer
    x = 20,503.26

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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.