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Finding the Fourth Proportional to 24,206.52, 36,316.02 and 7,567.08

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Solution

The fourth proportional to 24,206.52, 36,316.02 and 7,567.08 is: 11,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,206.52 : 36,316.02 = 7,567.08 : x
  2. Step 2: Convert to fraction form
    24,206.52/36,316.02 = 7,567.08/x
  3. Step 3: Cross multiply
    24,206.52x = 36,316.02 × 7,567.08
  4. Step 4: Simplify right side
    24,206.52x = 274,806,228.62
  5. Step 5: Solve for x
    x = 274,806,228.62/24,206.52
  6. Step 6: Final answer
    x = 11,352.57

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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.