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Finding the Fourth Proportional to 14,407.47, 19,891.38 and 11,043.94

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Solution

The fourth proportional to 14,407.47, 19,891.38 and 11,043.94 is: 15,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407.47 : 19,891.38 = 11,043.94 : x
  2. Step 2: Convert to fraction form
    14,407.47/19,891.38 = 11,043.94/x
  3. Step 3: Cross multiply
    14,407.47x = 19,891.38 × 11,043.94
  4. Step 4: Simplify right side
    14,407.47x = 219,679,207.24
  5. Step 5: Solve for x
    x = 219,679,207.24/14,407.47
  6. Step 6: Final answer
    x = 15,247.60

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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.