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Finding the Fourth Proportional to 23,075.04, 31,845.78 and 14,691

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Solution

The fourth proportional to 23,075.04, 31,845.78 and 14,691 is: 20,275.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.04 : 31,845.78 = 14,691 : x
  2. Step 2: Convert to fraction form
    23,075.04/31,845.78 = 14,691/x
  3. Step 3: Cross multiply
    23,075.04x = 31,845.78 × 14,691
  4. Step 4: Simplify right side
    23,075.04x = 467,846,353.98
  5. Step 5: Solve for x
    x = 467,846,353.98/23,075.04
  6. Step 6: Final answer
    x = 20,275.00

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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.