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Finding the Fourth Proportional to 17,461.16, 24,096.35 and 9,503.39

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Solution

The fourth proportional to 17,461.16, 24,096.35 and 9,503.39 is: 13,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.16 : 24,096.35 = 9,503.39 : x
  2. Step 2: Convert to fraction form
    17,461.16/24,096.35 = 9,503.39/x
  3. Step 3: Cross multiply
    17,461.16x = 24,096.35 × 9,503.39
  4. Step 4: Simplify right side
    17,461.16x = 228,997,011.63
  5. Step 5: Solve for x
    x = 228,997,011.63/17,461.16
  6. Step 6: Final answer
    x = 13,114.65

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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.