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Finding the Fourth Proportional to 15,716.81, 23,589.34 and 14,048.31

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Solution

The fourth proportional to 15,716.81, 23,589.34 and 14,048.31 is: 21,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,716.81 : 23,589.34 = 14,048.31 : x
  2. Step 2: Convert to fraction form
    15,716.81/23,589.34 = 14,048.31/x
  3. Step 3: Cross multiply
    15,716.81x = 23,589.34 × 14,048.31
  4. Step 4: Simplify right side
    15,716.81x = 331,390,325.89
  5. Step 5: Solve for x
    x = 331,390,325.89/15,716.81
  6. Step 6: Final answer
    x = 21,085.08

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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.