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Finding the Fourth Proportional to 17,700.64, 24,416.76 and 11,065.12

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Solution

The fourth proportional to 17,700.64, 24,416.76 and 11,065.12 is: 15,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.64 : 24,416.76 = 11,065.12 : x
  2. Step 2: Convert to fraction form
    17,700.64/24,416.76 = 11,065.12/x
  3. Step 3: Cross multiply
    17,700.64x = 24,416.76 × 11,065.12
  4. Step 4: Simplify right side
    17,700.64x = 270,174,379.41
  5. Step 5: Solve for x
    x = 270,174,379.41/17,700.64
  6. Step 6: Final answer
    x = 15,263.54

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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.