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Finding the Fourth Proportional to 18,952, 28,438.24 and 9,224

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Solution

The fourth proportional to 18,952, 28,438.24 and 9,224 is: 13,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,952 : 28,438.24 = 9,224 : x
  2. Step 2: Convert to fraction form
    18,952/28,438.24 = 9,224/x
  3. Step 3: Cross multiply
    18,952x = 28,438.24 × 9,224
  4. Step 4: Simplify right side
    18,952x = 262,314,325.76
  5. Step 5: Solve for x
    x = 262,314,325.76/18,952
  6. Step 6: Final answer
    x = 13,840.98

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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.