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Finding the Fourth Proportional to 22,482.63, 31,023.86 and 12,410.46

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Solution

The fourth proportional to 22,482.63, 31,023.86 and 12,410.46 is: 17,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.63 : 31,023.86 = 12,410.46 : x
  2. Step 2: Convert to fraction form
    22,482.63/31,023.86 = 12,410.46/x
  3. Step 3: Cross multiply
    22,482.63x = 31,023.86 × 12,410.46
  4. Step 4: Simplify right side
    22,482.63x = 385,020,311.52
  5. Step 5: Solve for x
    x = 385,020,311.52/22,482.63
  6. Step 6: Final answer
    x = 17,125.23

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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.