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Finding the Fourth Proportional to 17,828.22, 24,603.08 and 9,870.57

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Solution

The fourth proportional to 17,828.22, 24,603.08 and 9,870.57 is: 13,621.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.22 : 24,603.08 = 9,870.57 : x
  2. Step 2: Convert to fraction form
    17,828.22/24,603.08 = 9,870.57/x
  3. Step 3: Cross multiply
    17,828.22x = 24,603.08 × 9,870.57
  4. Step 4: Simplify right side
    17,828.22x = 242,846,423.36
  5. Step 5: Solve for x
    x = 242,846,423.36/17,828.22
  6. Step 6: Final answer
    x = 13,621.46

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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.