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Finding the Fourth Proportional to 17,828.12, 24,603 and 9,870.49

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Solution

The fourth proportional to 17,828.12, 24,603 and 9,870.49 is: 13,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.12 : 24,603 = 9,870.49 : x
  2. Step 2: Convert to fraction form
    17,828.12/24,603 = 9,870.49/x
  3. Step 3: Cross multiply
    17,828.12x = 24,603 × 9,870.49
  4. Step 4: Simplify right side
    17,828.12x = 242,843,542.46
  5. Step 5: Solve for x
    x = 242,843,542.46/17,828.12
  6. Step 6: Final answer
    x = 13,621.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.