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Finding the Fourth Proportional to 19,527.36, 29,290.10 and 6,378

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Solution

The fourth proportional to 19,527.36, 29,290.10 and 6,378 is: 9,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.36 : 29,290.10 = 6,378 : x
  2. Step 2: Convert to fraction form
    19,527.36/29,290.10 = 6,378/x
  3. Step 3: Cross multiply
    19,527.36x = 29,290.10 × 6,378
  4. Step 4: Simplify right side
    19,527.36x = 186,812,257.80
  5. Step 5: Solve for x
    x = 186,812,257.80/19,527.36
  6. Step 6: Final answer
    x = 9,566.69

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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.