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Finding the Fourth Proportional to 13,623.96, 18,802.75 and 7,655.50

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Solution

The fourth proportional to 13,623.96, 18,802.75 and 7,655.50 is: 10,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,623.96 : 18,802.75 = 7,655.50 : x
  2. Step 2: Convert to fraction form
    13,623.96/18,802.75 = 7,655.50/x
  3. Step 3: Cross multiply
    13,623.96x = 18,802.75 × 7,655.50
  4. Step 4: Simplify right side
    13,623.96x = 143,944,414.35
  5. Step 5: Solve for x
    x = 143,944,414.35/13,623.96
  6. Step 6: Final answer
    x = 10,565.53

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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.