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Finding the Fourth Proportional to 17,459.35, 24,094.41 and 9,502.09

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Solution

The fourth proportional to 17,459.35, 24,094.41 and 9,502.09 is: 13,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.35 : 24,094.41 = 9,502.09 : x
  2. Step 2: Convert to fraction form
    17,459.35/24,094.41 = 9,502.09/x
  3. Step 3: Cross multiply
    17,459.35x = 24,094.41 × 9,502.09
  4. Step 4: Simplify right side
    17,459.35x = 228,947,192.08
  5. Step 5: Solve for x
    x = 228,947,192.08/17,459.35
  6. Step 6: Final answer
    x = 13,113.16

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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.