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Finding the Fourth Proportional to 17,977.30, 24,808.77 and 10,019.46

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Solution

The fourth proportional to 17,977.30, 24,808.77 and 10,019.46 is: 13,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.30 : 24,808.77 = 10,019.46 : x
  2. Step 2: Convert to fraction form
    17,977.30/24,808.77 = 10,019.46/x
  3. Step 3: Cross multiply
    17,977.30x = 24,808.77 × 10,019.46
  4. Step 4: Simplify right side
    17,977.30x = 248,570,478.66
  5. Step 5: Solve for x
    x = 248,570,478.66/17,977.30
  6. Step 6: Final answer
    x = 13,826.91

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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.