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Finding the Fourth Proportional to 13,824.63, 19,078.02 and 7,537.01

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Solution

The fourth proportional to 13,824.63, 19,078.02 and 7,537.01 is: 10,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.63 : 19,078.02 = 7,537.01 : x
  2. Step 2: Convert to fraction form
    13,824.63/19,078.02 = 7,537.01/x
  3. Step 3: Cross multiply
    13,824.63x = 19,078.02 × 7,537.01
  4. Step 4: Simplify right side
    13,824.63x = 143,791,132.13
  5. Step 5: Solve for x
    x = 143,791,132.13/13,824.63
  6. Step 6: Final answer
    x = 10,401.08

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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.