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Finding the Fourth Proportional to 13,648.03, 18,832.75 and 7,681.75

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Solution

The fourth proportional to 13,648.03, 18,832.75 and 7,681.75 is: 10,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.03 : 18,832.75 = 7,681.75 : x
  2. Step 2: Convert to fraction form
    13,648.03/18,832.75 = 7,681.75/x
  3. Step 3: Cross multiply
    13,648.03x = 18,832.75 × 7,681.75
  4. Step 4: Simplify right side
    13,648.03x = 144,668,477.31
  5. Step 5: Solve for x
    x = 144,668,477.31/13,648.03
  6. Step 6: Final answer
    x = 10,599.95

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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.