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Finding the Fourth Proportional to 13,054.36, 18,014.70 and 7,465

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Solution

The fourth proportional to 13,054.36, 18,014.70 and 7,465 is: 10,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.36 : 18,014.70 = 7,465 : x
  2. Step 2: Convert to fraction form
    13,054.36/18,014.70 = 7,465/x
  3. Step 3: Cross multiply
    13,054.36x = 18,014.70 × 7,465
  4. Step 4: Simplify right side
    13,054.36x = 134,479,735.50
  5. Step 5: Solve for x
    x = 134,479,735.50/13,054.36
  6. Step 6: Final answer
    x = 10,301.52

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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.