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Finding the Fourth Proportional to 19,517.84, 29,280.84 and 6,370.96

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Solution

The fourth proportional to 19,517.84, 29,280.84 and 6,370.96 is: 9,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517.84 : 29,280.84 = 6,370.96 : x
  2. Step 2: Convert to fraction form
    19,517.84/29,280.84 = 6,370.96/x
  3. Step 3: Cross multiply
    19,517.84x = 29,280.84 × 6,370.96
  4. Step 4: Simplify right side
    19,517.84x = 186,547,060.41
  5. Step 5: Solve for x
    x = 186,547,060.41/19,517.84
  6. Step 6: Final answer
    x = 9,557.77

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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.