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Finding the Fourth Proportional to 16,199.40, 22,347.30 and 13,957.38

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Solution

The fourth proportional to 16,199.40, 22,347.30 and 13,957.38 is: 19,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.40 : 22,347.30 = 13,957.38 : x
  2. Step 2: Convert to fraction form
    16,199.40/22,347.30 = 13,957.38/x
  3. Step 3: Cross multiply
    16,199.40x = 22,347.30 × 13,957.38
  4. Step 4: Simplify right side
    16,199.40x = 311,909,758.07
  5. Step 5: Solve for x
    x = 311,909,758.07/16,199.40
  6. Step 6: Final answer
    x = 19,254.40

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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.