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Finding the Fourth Proportional to 13,922.64, 19,230.12 and 10,139.82

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Solution

The fourth proportional to 13,922.64, 19,230.12 and 10,139.82 is: 14,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922.64 : 19,230.12 = 10,139.82 : x
  2. Step 2: Convert to fraction form
    13,922.64/19,230.12 = 10,139.82/x
  3. Step 3: Cross multiply
    13,922.64x = 19,230.12 × 10,139.82
  4. Step 4: Simplify right side
    13,922.64x = 194,989,955.38
  5. Step 5: Solve for x
    x = 194,989,955.38/13,922.64
  6. Step 6: Final answer
    x = 14,005.24

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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.