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Finding the Fourth Proportional to 17,643.93, 24,350.70 and 10,570.20

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Solution

The fourth proportional to 17,643.93, 24,350.70 and 10,570.20 is: 14,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.93 : 24,350.70 = 10,570.20 : x
  2. Step 2: Convert to fraction form
    17,643.93/24,350.70 = 10,570.20/x
  3. Step 3: Cross multiply
    17,643.93x = 24,350.70 × 10,570.20
  4. Step 4: Simplify right side
    17,643.93x = 257,391,769.14
  5. Step 5: Solve for x
    x = 257,391,769.14/17,643.93
  6. Step 6: Final answer
    x = 14,588.12

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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.