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Finding the Fourth Proportional to 17,977.04, 24,809.82 and 10,018.20

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Solution

The fourth proportional to 17,977.04, 24,809.82 and 10,018.20 is: 13,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.04 : 24,809.82 = 10,018.20 : x
  2. Step 2: Convert to fraction form
    17,977.04/24,809.82 = 10,018.20/x
  3. Step 3: Cross multiply
    17,977.04x = 24,809.82 × 10,018.20
  4. Step 4: Simplify right side
    17,977.04x = 248,549,738.72
  5. Step 5: Solve for x
    x = 248,549,738.72/17,977.04
  6. Step 6: Final answer
    x = 13,825.95

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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.