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Finding the Fourth Proportional to 13,166.10, 19,609.47 and 13,102.52

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Solution

The fourth proportional to 13,166.10, 19,609.47 and 13,102.52 is: 19,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.10 : 19,609.47 = 13,102.52 : x
  2. Step 2: Convert to fraction form
    13,166.10/19,609.47 = 13,102.52/x
  3. Step 3: Cross multiply
    13,166.10x = 19,609.47 × 13,102.52
  4. Step 4: Simplify right side
    13,166.10x = 256,933,374.82
  5. Step 5: Solve for x
    x = 256,933,374.82/13,166.10
  6. Step 6: Final answer
    x = 19,514.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.