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Finding the Fourth Proportional to 15,641.23, 21,584.89 and 8,567.65

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Solution

The fourth proportional to 15,641.23, 21,584.89 and 8,567.65 is: 11,823.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.23 : 21,584.89 = 8,567.65 : x
  2. Step 2: Convert to fraction form
    15,641.23/21,584.89 = 8,567.65/x
  3. Step 3: Cross multiply
    15,641.23x = 21,584.89 × 8,567.65
  4. Step 4: Simplify right side
    15,641.23x = 184,931,771.84
  5. Step 5: Solve for x
    x = 184,931,771.84/15,641.23
  6. Step 6: Final answer
    x = 11,823.35

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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.