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Finding the Fourth Proportional to 14,586.47, 21,865.54 and 11,617.67

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Solution

The fourth proportional to 14,586.47, 21,865.54 and 11,617.67 is: 17,415.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.47 : 21,865.54 = 11,617.67 : x
  2. Step 2: Convert to fraction form
    14,586.47/21,865.54 = 11,617.67/x
  3. Step 3: Cross multiply
    14,586.47x = 21,865.54 × 11,617.67
  4. Step 4: Simplify right side
    14,586.47x = 254,026,628.09
  5. Step 5: Solve for x
    x = 254,026,628.09/14,586.47
  6. Step 6: Final answer
    x = 17,415.22

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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.