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Finding the Fourth Proportional to 23,009.68, 31,754.06 and 14,945.32

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Solution

The fourth proportional to 23,009.68, 31,754.06 and 14,945.32 is: 20,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.68 : 31,754.06 = 14,945.32 : x
  2. Step 2: Convert to fraction form
    23,009.68/31,754.06 = 14,945.32/x
  3. Step 3: Cross multiply
    23,009.68x = 31,754.06 × 14,945.32
  4. Step 4: Simplify right side
    23,009.68x = 474,574,588.00
  5. Step 5: Solve for x
    x = 474,574,588.00/23,009.68
  6. Step 6: Final answer
    x = 20,625.00

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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.