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Finding the Fourth Proportional to 22,520.63, 31,075.77 and 12,447.71

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Solution

The fourth proportional to 22,520.63, 31,075.77 and 12,447.71 is: 17,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.63 : 31,075.77 = 12,447.71 : x
  2. Step 2: Convert to fraction form
    22,520.63/31,075.77 = 12,447.71/x
  3. Step 3: Cross multiply
    22,520.63x = 31,075.77 × 12,447.71
  4. Step 4: Simplify right side
    22,520.63x = 386,822,017.61
  5. Step 5: Solve for x
    x = 386,822,017.61/22,520.63
  6. Step 6: Final answer
    x = 17,176.34

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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.