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Finding the Fourth Proportional to 17,695.04, 24,419.44 and 9,738.08

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Solution

The fourth proportional to 17,695.04, 24,419.44 and 9,738.08 is: 13,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.04 : 24,419.44 = 9,738.08 : x
  2. Step 2: Convert to fraction form
    17,695.04/24,419.44 = 9,738.08/x
  3. Step 3: Cross multiply
    17,695.04x = 24,419.44 × 9,738.08
  4. Step 4: Simplify right side
    17,695.04x = 237,798,460.28
  5. Step 5: Solve for x
    x = 237,798,460.28/17,695.04
  6. Step 6: Final answer
    x = 13,438.71

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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.