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Finding the Fourth Proportional to 14,141, 19,514.64 and 7,853.84

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Solution

The fourth proportional to 14,141, 19,514.64 and 7,853.84 is: 10,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141 : 19,514.64 = 7,853.84 : x
  2. Step 2: Convert to fraction form
    14,141/19,514.64 = 7,853.84/x
  3. Step 3: Cross multiply
    14,141x = 19,514.64 × 7,853.84
  4. Step 4: Simplify right side
    14,141x = 153,264,860.22
  5. Step 5: Solve for x
    x = 153,264,860.22/14,141
  6. Step 6: Final answer
    x = 10,838.33

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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.