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Finding the Fourth Proportional to 14,334.72, 21,510.38 and 6,014

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Solution

The fourth proportional to 14,334.72, 21,510.38 and 6,014 is: 9,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334.72 : 21,510.38 = 6,014 : x
  2. Step 2: Convert to fraction form
    14,334.72/21,510.38 = 6,014/x
  3. Step 3: Cross multiply
    14,334.72x = 21,510.38 × 6,014
  4. Step 4: Simplify right side
    14,334.72x = 129,363,425.32
  5. Step 5: Solve for x
    x = 129,363,425.32/14,334.72
  6. Step 6: Final answer
    x = 9,024.48

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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.