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Finding the Fourth Proportional to 17,459.24, 24,094 and 9,501.48

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Solution

The fourth proportional to 17,459.24, 24,094 and 9,501.48 is: 13,112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.24 : 24,094 = 9,501.48 : x
  2. Step 2: Convert to fraction form
    17,459.24/24,094 = 9,501.48/x
  3. Step 3: Cross multiply
    17,459.24x = 24,094 × 9,501.48
  4. Step 4: Simplify right side
    17,459.24x = 228,928,659.12
  5. Step 5: Solve for x
    x = 228,928,659.12/17,459.24
  6. Step 6: Final answer
    x = 13,112.18

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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.