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Finding the Fourth Proportional to 14,549.09, 20,064.11 and 11,574.77

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Solution

The fourth proportional to 14,549.09, 20,064.11 and 11,574.77 is: 15,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.09 : 20,064.11 = 11,574.77 : x
  2. Step 2: Convert to fraction form
    14,549.09/20,064.11 = 11,574.77/x
  3. Step 3: Cross multiply
    14,549.09x = 20,064.11 × 11,574.77
  4. Step 4: Simplify right side
    14,549.09x = 232,237,300.31
  5. Step 5: Solve for x
    x = 232,237,300.31/14,549.09
  6. Step 6: Final answer
    x = 15,962.33

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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.