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Finding the Fourth Proportional to 13,554.14, 18,703.80 and 7,585.74

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Solution

The fourth proportional to 13,554.14, 18,703.80 and 7,585.74 is: 10,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554.14 : 18,703.80 = 7,585.74 : x
  2. Step 2: Convert to fraction form
    13,554.14/18,703.80 = 7,585.74/x
  3. Step 3: Cross multiply
    13,554.14x = 18,703.80 × 7,585.74
  4. Step 4: Simplify right side
    13,554.14x = 141,882,163.81
  5. Step 5: Solve for x
    x = 141,882,163.81/13,554.14
  6. Step 6: Final answer
    x = 10,467.81

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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.