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Finding the Fourth Proportional to 24,452.94, 36,681.37 and 7,815.34

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Solution

The fourth proportional to 24,452.94, 36,681.37 and 7,815.34 is: 11,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.94 : 36,681.37 = 7,815.34 : x
  2. Step 2: Convert to fraction form
    24,452.94/36,681.37 = 7,815.34/x
  3. Step 3: Cross multiply
    24,452.94x = 36,681.37 × 7,815.34
  4. Step 4: Simplify right side
    24,452.94x = 286,677,378.22
  5. Step 5: Solve for x
    x = 286,677,378.22/24,452.94
  6. Step 6: Final answer
    x = 11,723.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.