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Finding the Fourth Proportional to 13,943.63, 19,242.11 and 7,570.07

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Solution

The fourth proportional to 13,943.63, 19,242.11 and 7,570.07 is: 10,446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.63 : 19,242.11 = 7,570.07 : x
  2. Step 2: Convert to fraction form
    13,943.63/19,242.11 = 7,570.07/x
  3. Step 3: Cross multiply
    13,943.63x = 19,242.11 × 7,570.07
  4. Step 4: Simplify right side
    13,943.63x = 145,664,081.80
  5. Step 5: Solve for x
    x = 145,664,081.80/13,943.63
  6. Step 6: Final answer
    x = 10,446.64

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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.