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Finding the Fourth Proportional to 17,953.16, 24,774.78 and 9,995.12

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Solution

The fourth proportional to 17,953.16, 24,774.78 and 9,995.12 is: 13,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.16 : 24,774.78 = 9,995.12 : x
  2. Step 2: Convert to fraction form
    17,953.16/24,774.78 = 9,995.12/x
  3. Step 3: Cross multiply
    17,953.16x = 24,774.78 × 9,995.12
  4. Step 4: Simplify right side
    17,953.16x = 247,626,899.07
  5. Step 5: Solve for x
    x = 247,626,899.07/17,953.16
  6. Step 6: Final answer
    x = 13,792.94

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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.