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Finding the Fourth Proportional to 21,382.64, 29,503.98 and 13,838.39

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Solution

The fourth proportional to 21,382.64, 29,503.98 and 13,838.39 is: 19,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.64 : 29,503.98 = 13,838.39 : x
  2. Step 2: Convert to fraction form
    21,382.64/29,503.98 = 13,838.39/x
  3. Step 3: Cross multiply
    21,382.64x = 29,503.98 × 13,838.39
  4. Step 4: Simplify right side
    21,382.64x = 408,287,434.27
  5. Step 5: Solve for x
    x = 408,287,434.27/21,382.64
  6. Step 6: Final answer
    x = 19,094.35

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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.