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Finding the Fourth Proportional to 30,774.26, 42,482.64 and 18,025.67

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Solution

The fourth proportional to 30,774.26, 42,482.64 and 18,025.67 is: 24,883.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.26 : 42,482.64 = 18,025.67 : x
  2. Step 2: Convert to fraction form
    30,774.26/42,482.64 = 18,025.67/x
  3. Step 3: Cross multiply
    30,774.26x = 42,482.64 × 18,025.67
  4. Step 4: Simplify right side
    30,774.26x = 765,778,223.17
  5. Step 5: Solve for x
    x = 765,778,223.17/30,774.26
  6. Step 6: Final answer
    x = 24,883.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.