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Finding the Fourth Proportional to 14,182.53, 19,577.97 and 10,096.98

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Solution

The fourth proportional to 14,182.53, 19,577.97 and 10,096.98 is: 13,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.53 : 19,577.97 = 10,096.98 : x
  2. Step 2: Convert to fraction form
    14,182.53/19,577.97 = 10,096.98/x
  3. Step 3: Cross multiply
    14,182.53x = 19,577.97 × 10,096.98
  4. Step 4: Simplify right side
    14,182.53x = 197,678,223.16
  5. Step 5: Solve for x
    x = 197,678,223.16/14,182.53
  6. Step 6: Final answer
    x = 13,938.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.