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Finding the Fourth Proportional to 13,810.19, 19,057.97 and 7,522.57

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Solution

The fourth proportional to 13,810.19, 19,057.97 and 7,522.57 is: 10,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.19 : 19,057.97 = 7,522.57 : x
  2. Step 2: Convert to fraction form
    13,810.19/19,057.97 = 7,522.57/x
  3. Step 3: Cross multiply
    13,810.19x = 19,057.97 × 7,522.57
  4. Step 4: Simplify right side
    13,810.19x = 143,364,780.48
  5. Step 5: Solve for x
    x = 143,364,780.48/13,810.19
  6. Step 6: Final answer
    x = 10,381.09

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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.