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Finding the Fourth Proportional to 19,260, 28,894.86 and 5,409

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Solution

The fourth proportional to 19,260, 28,894.86 and 5,409 is: 8,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,260 : 28,894.86 = 5,409 : x
  2. Step 2: Convert to fraction form
    19,260/28,894.86 = 5,409/x
  3. Step 3: Cross multiply
    19,260x = 28,894.86 × 5,409
  4. Step 4: Simplify right side
    19,260x = 156,292,297.74
  5. Step 5: Solve for x
    x = 156,292,297.74/19,260
  6. Step 6: Final answer
    x = 8,114.86

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