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Finding the Fourth Proportional to 15,405.76, 23,119.84 and 11,465.92

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Solution

The fourth proportional to 15,405.76, 23,119.84 and 11,465.92 is: 17,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405.76 : 23,119.84 = 11,465.92 : x
  2. Step 2: Convert to fraction form
    15,405.76/23,119.84 = 11,465.92/x
  3. Step 3: Cross multiply
    15,405.76x = 23,119.84 × 11,465.92
  4. Step 4: Simplify right side
    15,405.76x = 265,090,235.85
  5. Step 5: Solve for x
    x = 265,090,235.85/15,405.76
  6. Step 6: Final answer
    x = 17,207.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.