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Finding the Fourth Proportional to 14,491.44, 21,751.74 and 10,584

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Solution

The fourth proportional to 14,491.44, 21,751.74 and 10,584 is: 15,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.44 : 21,751.74 = 10,584 : x
  2. Step 2: Convert to fraction form
    14,491.44/21,751.74 = 10,584/x
  3. Step 3: Cross multiply
    14,491.44x = 21,751.74 × 10,584
  4. Step 4: Simplify right side
    14,491.44x = 230,220,416.16
  5. Step 5: Solve for x
    x = 230,220,416.16/14,491.44
  6. Step 6: Final answer
    x = 15,886.65

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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.