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Finding the Fourth Proportional to 28,014, 42,021.81 and 7,237.50

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Solution

The fourth proportional to 28,014, 42,021.81 and 7,237.50 is: 10,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,014 : 42,021.81 = 7,237.50 : x
  2. Step 2: Convert to fraction form
    28,014/42,021.81 = 7,237.50/x
  3. Step 3: Cross multiply
    28,014x = 42,021.81 × 7,237.50
  4. Step 4: Simplify right side
    28,014x = 304,132,849.88
  5. Step 5: Solve for x
    x = 304,132,849.88/28,014
  6. Step 6: Final answer
    x = 10,856.46

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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.