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Finding the Fourth Proportional to 17,828.24, 24,603.32 and 9,870.24

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Solution

The fourth proportional to 17,828.24, 24,603.32 and 9,870.24 is: 13,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.24 : 24,603.32 = 9,870.24 : x
  2. Step 2: Convert to fraction form
    17,828.24/24,603.32 = 9,870.24/x
  3. Step 3: Cross multiply
    17,828.24x = 24,603.32 × 9,870.24
  4. Step 4: Simplify right side
    17,828.24x = 242,840,673.20
  5. Step 5: Solve for x
    x = 242,840,673.20/17,828.24
  6. Step 6: Final answer
    x = 13,621.12

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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.