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Finding the Fourth Proportional to 17,806.51, 24,570.09 and 9,847.20

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Solution

The fourth proportional to 17,806.51, 24,570.09 and 9,847.20 is: 13,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.51 : 24,570.09 = 9,847.20 : x
  2. Step 2: Convert to fraction form
    17,806.51/24,570.09 = 9,847.20/x
  3. Step 3: Cross multiply
    17,806.51x = 24,570.09 × 9,847.20
  4. Step 4: Simplify right side
    17,806.51x = 241,946,482.00
  5. Step 5: Solve for x
    x = 241,946,482.00/17,806.51
  6. Step 6: Final answer
    x = 13,587.53

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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.