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Finding the Fourth Proportional to 13,642.32, 20,458.44 and 10,726.32

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Solution

The fourth proportional to 13,642.32, 20,458.44 and 10,726.32 is: 16,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.32 : 20,458.44 = 10,726.32 : x
  2. Step 2: Convert to fraction form
    13,642.32/20,458.44 = 10,726.32/x
  3. Step 3: Cross multiply
    13,642.32x = 20,458.44 × 10,726.32
  4. Step 4: Simplify right side
    13,642.32x = 219,443,774.14
  5. Step 5: Solve for x
    x = 219,443,774.14/13,642.32
  6. Step 6: Final answer
    x = 16,085.52

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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.