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Finding the Fourth Proportional to 17,804.75, 24,569.16 and 9,847.04

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Solution

The fourth proportional to 17,804.75, 24,569.16 and 9,847.04 is: 13,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.75 : 24,569.16 = 9,847.04 : x
  2. Step 2: Convert to fraction form
    17,804.75/24,569.16 = 9,847.04/x
  3. Step 3: Cross multiply
    17,804.75x = 24,569.16 × 9,847.04
  4. Step 4: Simplify right side
    17,804.75x = 241,933,501.29
  5. Step 5: Solve for x
    x = 241,933,501.29/17,804.75
  6. Step 6: Final answer
    x = 13,588.14

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1.5x scale

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.