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Finding the Fourth Proportional to 14,159.84, 19,540.32 and 7,872.16

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Solution

The fourth proportional to 14,159.84, 19,540.32 and 7,872.16 is: 10,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.84 : 19,540.32 = 7,872.16 : x
  2. Step 2: Convert to fraction form
    14,159.84/19,540.32 = 7,872.16/x
  3. Step 3: Cross multiply
    14,159.84x = 19,540.32 × 7,872.16
  4. Step 4: Simplify right side
    14,159.84x = 153,824,525.49
  5. Step 5: Solve for x
    x = 153,824,525.49/14,159.84
  6. Step 6: Final answer
    x = 10,863.44

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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.