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Finding the Fourth Proportional to 17,484.40, 24,137.22 and 11,117.40

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Solution

The fourth proportional to 17,484.40, 24,137.22 and 11,117.40 is: 15,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.40 : 24,137.22 = 11,117.40 : x
  2. Step 2: Convert to fraction form
    17,484.40/24,137.22 = 11,117.40/x
  3. Step 3: Cross multiply
    17,484.40x = 24,137.22 × 11,117.40
  4. Step 4: Simplify right side
    17,484.40x = 268,343,008.94
  5. Step 5: Solve for x
    x = 268,343,008.94/17,484.40
  6. Step 6: Final answer
    x = 15,347.57

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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.