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Finding the Fourth Proportional to 23,119.99, 31,905.34 and 12,509.39

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Solution

The fourth proportional to 23,119.99, 31,905.34 and 12,509.39 is: 17,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,119.99 : 31,905.34 = 12,509.39 : x
  2. Step 2: Convert to fraction form
    23,119.99/31,905.34 = 12,509.39/x
  3. Step 3: Cross multiply
    23,119.99x = 31,905.34 × 12,509.39
  4. Step 4: Simplify right side
    23,119.99x = 399,116,341.14
  5. Step 5: Solve for x
    x = 399,116,341.14/23,119.99
  6. Step 6: Final answer
    x = 17,262.82

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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.