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Finding the Fourth Proportional to 17,625.80, 24,310.86 and 14,969

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Solution

The fourth proportional to 17,625.80, 24,310.86 and 14,969 is: 20,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.80 : 24,310.86 = 14,969 : x
  2. Step 2: Convert to fraction form
    17,625.80/24,310.86 = 14,969/x
  3. Step 3: Cross multiply
    17,625.80x = 24,310.86 × 14,969
  4. Step 4: Simplify right side
    17,625.80x = 363,909,263.34
  5. Step 5: Solve for x
    x = 363,909,263.34/17,625.80
  6. Step 6: Final answer
    x = 20,646.40

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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.