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Finding the Fourth Proportional to 17,459.44, 24,086.88 and 9,904.12

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Solution

The fourth proportional to 17,459.44, 24,086.88 and 9,904.12 is: 13,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.44 : 24,086.88 = 9,904.12 : x
  2. Step 2: Convert to fraction form
    17,459.44/24,086.88 = 9,904.12/x
  3. Step 3: Cross multiply
    17,459.44x = 24,086.88 × 9,904.12
  4. Step 4: Simplify right side
    17,459.44x = 238,559,349.95
  5. Step 5: Solve for x
    x = 238,559,349.95/17,459.44
  6. Step 6: Final answer
    x = 13,663.63

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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.