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Finding the Fourth Proportional to 15,738.99, 23,616.39 and 9,814.34

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Solution

The fourth proportional to 15,738.99, 23,616.39 and 9,814.34 is: 14,726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,738.99 : 23,616.39 = 9,814.34 : x
  2. Step 2: Convert to fraction form
    15,738.99/23,616.39 = 9,814.34/x
  3. Step 3: Cross multiply
    15,738.99x = 23,616.39 × 9,814.34
  4. Step 4: Simplify right side
    15,738.99x = 231,779,376.88
  5. Step 5: Solve for x
    x = 231,779,376.88/15,738.99
  6. Step 6: Final answer
    x = 14,726.45

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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.