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Finding the Fourth Proportional to 22,482.81, 31,024.68 and 12,409.63

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Solution

The fourth proportional to 22,482.81, 31,024.68 and 12,409.63 is: 17,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,482.81 : 31,024.68 = 12,409.63 : x
  2. Step 2: Convert to fraction form
    22,482.81/31,024.68 = 12,409.63/x
  3. Step 3: Cross multiply
    22,482.81x = 31,024.68 × 12,409.63
  4. Step 4: Simplify right side
    22,482.81x = 385,004,799.67
  5. Step 5: Solve for x
    x = 385,004,799.67/22,482.81
  6. Step 6: Final answer
    x = 17,124.41

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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.