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Finding the Fourth Proportional to 14,597.94, 21,900.10 and 4,738.22

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Solution

The fourth proportional to 14,597.94, 21,900.10 and 4,738.22 is: 7,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.94 : 21,900.10 = 4,738.22 : x
  2. Step 2: Convert to fraction form
    14,597.94/21,900.10 = 4,738.22/x
  3. Step 3: Cross multiply
    14,597.94x = 21,900.10 × 4,738.22
  4. Step 4: Simplify right side
    14,597.94x = 103,767,491.82
  5. Step 5: Solve for x
    x = 103,767,491.82/14,597.94
  6. Step 6: Final answer
    x = 7,108.37

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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.