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Finding the Fourth Proportional to 17,813.32, 24,580.38 and 9,854.44

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Solution

The fourth proportional to 17,813.32, 24,580.38 and 9,854.44 is: 13,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.32 : 24,580.38 = 9,854.44 : x
  2. Step 2: Convert to fraction form
    17,813.32/24,580.38 = 9,854.44/x
  3. Step 3: Cross multiply
    17,813.32x = 24,580.38 × 9,854.44
  4. Step 4: Simplify right side
    17,813.32x = 242,225,879.89
  5. Step 5: Solve for x
    x = 242,225,879.89/17,813.32
  6. Step 6: Final answer
    x = 13,598.02

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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.