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Finding the Fourth Proportional to 17,816.64, 24,584.96 and 9,858.20

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Solution

The fourth proportional to 17,816.64, 24,584.96 and 9,858.20 is: 13,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,816.64 : 24,584.96 = 9,858.20 : x
  2. Step 2: Convert to fraction form
    17,816.64/24,584.96 = 9,858.20/x
  3. Step 3: Cross multiply
    17,816.64x = 24,584.96 × 9,858.20
  4. Step 4: Simplify right side
    17,816.64x = 242,363,280.46
  5. Step 5: Solve for x
    x = 242,363,280.46/17,816.64
  6. Step 6: Final answer
    x = 13,603.20

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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.