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Finding the Fourth Proportional to 17,666, 24,379.08 and 10,218.32

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Solution

The fourth proportional to 17,666, 24,379.08 and 10,218.32 is: 14,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666 : 24,379.08 = 10,218.32 : x
  2. Step 2: Convert to fraction form
    17,666/24,379.08 = 10,218.32/x
  3. Step 3: Cross multiply
    17,666x = 24,379.08 × 10,218.32
  4. Step 4: Simplify right side
    17,666x = 249,113,240.75
  5. Step 5: Solve for x
    x = 249,113,240.75/17,666
  6. Step 6: Final answer
    x = 14,101.28

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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.