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Finding the Fourth Proportional to 14,356.44, 21,527.37 and 6,561

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Solution

The fourth proportional to 14,356.44, 21,527.37 and 6,561 is: 9,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.44 : 21,527.37 = 6,561 : x
  2. Step 2: Convert to fraction form
    14,356.44/21,527.37 = 6,561/x
  3. Step 3: Cross multiply
    14,356.44x = 21,527.37 × 6,561
  4. Step 4: Simplify right side
    14,356.44x = 141,241,074.57
  5. Step 5: Solve for x
    x = 141,241,074.57/14,356.44
  6. Step 6: Final answer
    x = 9,838.17

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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.