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Finding the Fourth Proportional to 13,812.26, 19,061.06 and 7,524.63

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Solution

The fourth proportional to 13,812.26, 19,061.06 and 7,524.63 is: 10,384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.26 : 19,061.06 = 7,524.63 : x
  2. Step 2: Convert to fraction form
    13,812.26/19,061.06 = 7,524.63/x
  3. Step 3: Cross multiply
    13,812.26x = 19,061.06 × 7,524.63
  4. Step 4: Simplify right side
    13,812.26x = 143,427,386.28
  5. Step 5: Solve for x
    x = 143,427,386.28/13,812.26
  6. Step 6: Final answer
    x = 10,384.07

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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.