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Finding the Fourth Proportional to 21,824.32, 30,114.03 and 12,870.58

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Solution

The fourth proportional to 21,824.32, 30,114.03 and 12,870.58 is: 17,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.32 : 30,114.03 = 12,870.58 : x
  2. Step 2: Convert to fraction form
    21,824.32/30,114.03 = 12,870.58/x
  3. Step 3: Cross multiply
    21,824.32x = 30,114.03 × 12,870.58
  4. Step 4: Simplify right side
    21,824.32x = 387,585,032.24
  5. Step 5: Solve for x
    x = 387,585,032.24/21,824.32
  6. Step 6: Final answer
    x = 17,759.32

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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.