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Finding the Fourth Proportional to 14,064.50, 19,409.24 and 7,776.88

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Solution

The fourth proportional to 14,064.50, 19,409.24 and 7,776.88 is: 10,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.50 : 19,409.24 = 7,776.88 : x
  2. Step 2: Convert to fraction form
    14,064.50/19,409.24 = 7,776.88/x
  3. Step 3: Cross multiply
    14,064.50x = 19,409.24 × 7,776.88
  4. Step 4: Simplify right side
    14,064.50x = 150,943,330.37
  5. Step 5: Solve for x
    x = 150,943,330.37/14,064.50
  6. Step 6: Final answer
    x = 10,732.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.