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Finding the Fourth Proportional to 19,215, 28,822.50 and 5,364

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Solution

The fourth proportional to 19,215, 28,822.50 and 5,364 is: 8,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,215 : 28,822.50 = 5,364 : x
  2. Step 2: Convert to fraction form
    19,215/28,822.50 = 5,364/x
  3. Step 3: Cross multiply
    19,215x = 28,822.50 × 5,364
  4. Step 4: Simplify right side
    19,215x = 154,603,890
  5. Step 5: Solve for x
    x = 154,603,890/19,215
  6. Step 6: Final answer
    x = 8,046

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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.