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Finding the Fourth Proportional to 14,561.58, 20,091.75 and 9,264.18

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Solution

The fourth proportional to 14,561.58, 20,091.75 and 9,264.18 is: 12,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.58 : 20,091.75 = 9,264.18 : x
  2. Step 2: Convert to fraction form
    14,561.58/20,091.75 = 9,264.18/x
  3. Step 3: Cross multiply
    14,561.58x = 20,091.75 × 9,264.18
  4. Step 4: Simplify right side
    14,561.58x = 186,133,588.52
  5. Step 5: Solve for x
    x = 186,133,588.52/14,561.58
  6. Step 6: Final answer
    x = 12,782.51

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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.