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Finding the Fourth Proportional to 13,138.99, 18,138.50 and 10,148.11

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Solution

The fourth proportional to 13,138.99, 18,138.50 and 10,148.11 is: 14,009.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.99 : 18,138.50 = 10,148.11 : x
  2. Step 2: Convert to fraction form
    13,138.99/18,138.50 = 10,148.11/x
  3. Step 3: Cross multiply
    13,138.99x = 18,138.50 × 10,148.11
  4. Step 4: Simplify right side
    13,138.99x = 184,071,442.49
  5. Step 5: Solve for x
    x = 184,071,442.49/13,138.99
  6. Step 6: Final answer
    x = 14,009.56

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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.