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Finding the Fourth Proportional to 17,977.32, 24,808.41 and 10,019.34

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Solution

The fourth proportional to 17,977.32, 24,808.41 and 10,019.34 is: 13,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.32 : 24,808.41 = 10,019.34 : x
  2. Step 2: Convert to fraction form
    17,977.32/24,808.41 = 10,019.34/x
  3. Step 3: Cross multiply
    17,977.32x = 24,808.41 × 10,019.34
  4. Step 4: Simplify right side
    17,977.32x = 248,563,894.65
  5. Step 5: Solve for x
    x = 248,563,894.65/17,977.32
  6. Step 6: Final answer
    x = 13,826.53

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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.