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Finding the Fourth Proportional to 13,053, 18,014.22 and 7,465.08

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Solution

The fourth proportional to 13,053, 18,014.22 and 7,465.08 is: 10,302.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053 : 18,014.22 = 7,465.08 : x
  2. Step 2: Convert to fraction form
    13,053/18,014.22 = 7,465.08/x
  3. Step 3: Cross multiply
    13,053x = 18,014.22 × 7,465.08
  4. Step 4: Simplify right side
    13,053x = 134,477,593.44
  5. Step 5: Solve for x
    x = 134,477,593.44/13,053
  6. Step 6: Final answer
    x = 10,302.43

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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.