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Finding the Fourth Proportional to 17,680.50, 24,400.26 and 10,228.50

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Solution

The fourth proportional to 17,680.50, 24,400.26 and 10,228.50 is: 14,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680.50 : 24,400.26 = 10,228.50 : x
  2. Step 2: Convert to fraction form
    17,680.50/24,400.26 = 10,228.50/x
  3. Step 3: Cross multiply
    17,680.50x = 24,400.26 × 10,228.50
  4. Step 4: Simplify right side
    17,680.50x = 249,578,059.41
  5. Step 5: Solve for x
    x = 249,578,059.41/17,680.50
  6. Step 6: Final answer
    x = 14,116.01

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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.