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Finding the Fourth Proportional to 13,009.58, 19,514.40 and 3,148.82

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Solution

The fourth proportional to 13,009.58, 19,514.40 and 3,148.82 is: 4,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.58 : 19,514.40 = 3,148.82 : x
  2. Step 2: Convert to fraction form
    13,009.58/19,514.40 = 3,148.82/x
  3. Step 3: Cross multiply
    13,009.58x = 19,514.40 × 3,148.82
  4. Step 4: Simplify right side
    13,009.58x = 61,447,333.01
  5. Step 5: Solve for x
    x = 61,447,333.01/13,009.58
  6. Step 6: Final answer
    x = 4,723.24

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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.