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Finding the Fourth Proportional to 14,159.52, 19,541.16 and 7,872.84

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Solution

The fourth proportional to 14,159.52, 19,541.16 and 7,872.84 is: 10,865.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.52 : 19,541.16 = 7,872.84 : x
  2. Step 2: Convert to fraction form
    14,159.52/19,541.16 = 7,872.84/x
  3. Step 3: Cross multiply
    14,159.52x = 19,541.16 × 7,872.84
  4. Step 4: Simplify right side
    14,159.52x = 153,844,426.09
  5. Step 5: Solve for x
    x = 153,844,426.09/14,159.52
  6. Step 6: Final answer
    x = 10,865.09

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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.