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Finding the Fourth Proportional to 24,594.90, 33,941.34 and 13,416.90

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Solution

The fourth proportional to 24,594.90, 33,941.34 and 13,416.90 is: 18,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.90 : 33,941.34 = 13,416.90 : x
  2. Step 2: Convert to fraction form
    24,594.90/33,941.34 = 13,416.90/x
  3. Step 3: Cross multiply
    24,594.90x = 33,941.34 × 13,416.90
  4. Step 4: Simplify right side
    24,594.90x = 455,387,564.65
  5. Step 5: Solve for x
    x = 455,387,564.65/24,594.90
  6. Step 6: Final answer
    x = 18,515.53

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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.