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Finding the Fourth Proportional to 23,123.99, 31,911.06 and 12,513.63

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Solution

The fourth proportional to 23,123.99, 31,911.06 and 12,513.63 is: 17,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.99 : 31,911.06 = 12,513.63 : x
  2. Step 2: Convert to fraction form
    23,123.99/31,911.06 = 12,513.63/x
  3. Step 3: Cross multiply
    23,123.99x = 31,911.06 × 12,513.63
  4. Step 4: Simplify right side
    23,123.99x = 399,323,258.76
  5. Step 5: Solve for x
    x = 399,323,258.76/23,123.99
  6. Step 6: Final answer
    x = 17,268.79

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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.