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Finding the Fourth Proportional to 17,460.98, 24,096.08 and 9,503.26

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Solution

The fourth proportional to 17,460.98, 24,096.08 and 9,503.26 is: 13,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.98 : 24,096.08 = 9,503.26 : x
  2. Step 2: Convert to fraction form
    17,460.98/24,096.08 = 9,503.26/x
  3. Step 3: Cross multiply
    17,460.98x = 24,096.08 × 9,503.26
  4. Step 4: Simplify right side
    17,460.98x = 228,991,313.22
  5. Step 5: Solve for x
    x = 228,991,313.22/17,460.98
  6. Step 6: Final answer
    x = 13,114.46

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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.