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Finding the Fourth Proportional to 26,683.52, 36,822.69 and 14,746.59

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Solution

The fourth proportional to 26,683.52, 36,822.69 and 14,746.59 is: 20,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,683.52 : 36,822.69 = 14,746.59 : x
  2. Step 2: Convert to fraction form
    26,683.52/36,822.69 = 14,746.59/x
  3. Step 3: Cross multiply
    26,683.52x = 36,822.69 × 14,746.59
  4. Step 4: Simplify right side
    26,683.52x = 543,009,112.13
  5. Step 5: Solve for x
    x = 543,009,112.13/26,683.52
  6. Step 6: Final answer
    x = 20,349.98

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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.