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Finding the Fourth Proportional to 18,970.74, 28,434.78 and 7,113.02

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Solution

The fourth proportional to 18,970.74, 28,434.78 and 7,113.02 is: 10,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,970.74 : 28,434.78 = 7,113.02 : x
  2. Step 2: Convert to fraction form
    18,970.74/28,434.78 = 7,113.02/x
  3. Step 3: Cross multiply
    18,970.74x = 28,434.78 × 7,113.02
  4. Step 4: Simplify right side
    18,970.74x = 202,257,016.66
  5. Step 5: Solve for x
    x = 202,257,016.66/18,970.74
  6. Step 6: Final answer
    x = 10,661.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.