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Finding the Fourth Proportional to 13,797.63, 19,041.13 and 9,771.66

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Solution

The fourth proportional to 13,797.63, 19,041.13 and 9,771.66 is: 13,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.63 : 19,041.13 = 9,771.66 : x
  2. Step 2: Convert to fraction form
    13,797.63/19,041.13 = 9,771.66/x
  3. Step 3: Cross multiply
    13,797.63x = 19,041.13 × 9,771.66
  4. Step 4: Simplify right side
    13,797.63x = 186,063,389.19
  5. Step 5: Solve for x
    x = 186,063,389.19/13,797.63
  6. Step 6: Final answer
    x = 13,485.17

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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.