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Finding the Fourth Proportional to 14,402.42, 19,864.61 and 12,789.28

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Solution

The fourth proportional to 14,402.42, 19,864.61 and 12,789.28 is: 17,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,402.42 : 19,864.61 = 12,789.28 : x
  2. Step 2: Convert to fraction form
    14,402.42/19,864.61 = 12,789.28/x
  3. Step 3: Cross multiply
    14,402.42x = 19,864.61 × 12,789.28
  4. Step 4: Simplify right side
    14,402.42x = 254,054,059.38
  5. Step 5: Solve for x
    x = 254,054,059.38/14,402.42
  6. Step 6: Final answer
    x = 17,639.68

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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.