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Finding the Fourth Proportional to 26,509.68, 36,583.25 and 14,573.66

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Solution

The fourth proportional to 26,509.68, 36,583.25 and 14,573.66 is: 20,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.68 : 36,583.25 = 14,573.66 : x
  2. Step 2: Convert to fraction form
    26,509.68/36,583.25 = 14,573.66/x
  3. Step 3: Cross multiply
    26,509.68x = 36,583.25 × 14,573.66
  4. Step 4: Simplify right side
    26,509.68x = 533,151,591.41
  5. Step 5: Solve for x
    x = 533,151,591.41/26,509.68
  6. Step 6: Final answer
    x = 20,111.58

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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.