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Finding the Fourth Proportional to 26,415.82, 36,457.56 and 16,347.50

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Solution

The fourth proportional to 26,415.82, 36,457.56 and 16,347.50 is: 22,561.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.82 : 36,457.56 = 16,347.50 : x
  2. Step 2: Convert to fraction form
    26,415.82/36,457.56 = 16,347.50/x
  3. Step 3: Cross multiply
    26,415.82x = 36,457.56 × 16,347.50
  4. Step 4: Simplify right side
    26,415.82x = 595,989,977.83
  5. Step 5: Solve for x
    x = 595,989,977.83/26,415.82
  6. Step 6: Final answer
    x = 22,561.86

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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.