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Finding the Fourth Proportional to 17,466.56, 24,101.76 and 9,913.76

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Solution

The fourth proportional to 17,466.56, 24,101.76 and 9,913.76 is: 13,679.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.56 : 24,101.76 = 9,913.76 : x
  2. Step 2: Convert to fraction form
    17,466.56/24,101.76 = 9,913.76/x
  3. Step 3: Cross multiply
    17,466.56x = 24,101.76 × 9,913.76
  4. Step 4: Simplify right side
    17,466.56x = 238,939,064.22
  5. Step 5: Solve for x
    x = 238,939,064.22/17,466.56
  6. Step 6: Final answer
    x = 13,679.80

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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.