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Finding the Fourth Proportional to 17,606.25, 24,289.20 and 10,880.21

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Solution

The fourth proportional to 17,606.25, 24,289.20 and 10,880.21 is: 15,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,606.25 : 24,289.20 = 10,880.21 : x
  2. Step 2: Convert to fraction form
    17,606.25/24,289.20 = 10,880.21/x
  3. Step 3: Cross multiply
    17,606.25x = 24,289.20 × 10,880.21
  4. Step 4: Simplify right side
    17,606.25x = 264,271,657.46
  5. Step 5: Solve for x
    x = 264,271,657.46/17,606.25
  6. Step 6: Final answer
    x = 15,010.10

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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.