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Finding the Fourth Proportional to 24,352.80, 36,511.38 and 7,703.52

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Solution

The fourth proportional to 24,352.80, 36,511.38 and 7,703.52 is: 11,549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.80 : 36,511.38 = 7,703.52 : x
  2. Step 2: Convert to fraction form
    24,352.80/36,511.38 = 7,703.52/x
  3. Step 3: Cross multiply
    24,352.80x = 36,511.38 × 7,703.52
  4. Step 4: Simplify right side
    24,352.80x = 281,266,146.06
  5. Step 5: Solve for x
    x = 281,266,146.06/24,352.80
  6. Step 6: Final answer
    x = 11,549.64

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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.