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Finding the Fourth Proportional to 23,486.26, 32,421.18 and 14,053

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Solution

The fourth proportional to 23,486.26, 32,421.18 and 14,053 is: 19,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.26 : 32,421.18 = 14,053 : x
  2. Step 2: Convert to fraction form
    23,486.26/32,421.18 = 14,053/x
  3. Step 3: Cross multiply
    23,486.26x = 32,421.18 × 14,053
  4. Step 4: Simplify right side
    23,486.26x = 455,614,842.54
  5. Step 5: Solve for x
    x = 455,614,842.54/23,486.26
  6. Step 6: Final answer
    x = 19,399.21

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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.