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Finding the Fourth Proportional to 18,668.64, 25,762.56 and 10,285.20

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Solution

The fourth proportional to 18,668.64, 25,762.56 and 10,285.20 is: 14,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,668.64 : 25,762.56 = 10,285.20 : x
  2. Step 2: Convert to fraction form
    18,668.64/25,762.56 = 10,285.20/x
  3. Step 3: Cross multiply
    18,668.64x = 25,762.56 × 10,285.20
  4. Step 4: Simplify right side
    18,668.64x = 264,973,082.11
  5. Step 5: Solve for x
    x = 264,973,082.11/18,668.64
  6. Step 6: Final answer
    x = 14,193.49

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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.