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Finding the Fourth Proportional to 12,534.99, 18,803.41 and 4,214.97

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Solution

The fourth proportional to 12,534.99, 18,803.41 and 4,214.97 is: 6,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.99 : 18,803.41 = 4,214.97 : x
  2. Step 2: Convert to fraction form
    12,534.99/18,803.41 = 4,214.97/x
  3. Step 3: Cross multiply
    12,534.99x = 18,803.41 × 4,214.97
  4. Step 4: Simplify right side
    12,534.99x = 79,255,798.51
  5. Step 5: Solve for x
    x = 79,255,798.51/12,534.99
  6. Step 6: Final answer
    x = 6,322.77

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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.