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Finding the Fourth Proportional to 17,457.70, 24,058.77 and 15,738.50

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Solution

The fourth proportional to 17,457.70, 24,058.77 and 15,738.50 is: 21,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,457.70 : 24,058.77 = 15,738.50 : x
  2. Step 2: Convert to fraction form
    17,457.70/24,058.77 = 15,738.50/x
  3. Step 3: Cross multiply
    17,457.70x = 24,058.77 × 15,738.50
  4. Step 4: Simplify right side
    17,457.70x = 378,649,041.30
  5. Step 5: Solve for x
    x = 378,649,041.30/17,457.70
  6. Step 6: Final answer
    x = 21,689.51

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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.