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Finding the Fourth Proportional to 26,502.86, 36,574.62 and 14,566.50

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Solution

The fourth proportional to 26,502.86, 36,574.62 and 14,566.50 is: 20,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,502.86 : 36,574.62 = 14,566.50 : x
  2. Step 2: Convert to fraction form
    26,502.86/36,574.62 = 14,566.50/x
  3. Step 3: Cross multiply
    26,502.86x = 36,574.62 × 14,566.50
  4. Step 4: Simplify right side
    26,502.86x = 532,764,202.23
  5. Step 5: Solve for x
    x = 532,764,202.23/26,502.86
  6. Step 6: Final answer
    x = 20,102.14

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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.