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Finding the Fourth Proportional to 17,953.83, 24,777.63 and 10,402.20

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Solution

The fourth proportional to 17,953.83, 24,777.63 and 10,402.20 is: 14,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.83 : 24,777.63 = 10,402.20 : x
  2. Step 2: Convert to fraction form
    17,953.83/24,777.63 = 10,402.20/x
  3. Step 3: Cross multiply
    17,953.83x = 24,777.63 × 10,402.20
  4. Step 4: Simplify right side
    17,953.83x = 257,741,862.79
  5. Step 5: Solve for x
    x = 257,741,862.79/17,953.83
  6. Step 6: Final answer
    x = 14,355.82

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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.