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Finding the Fourth Proportional to 14,465.84, 19,977.09 and 10,001.12

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Solution

The fourth proportional to 14,465.84, 19,977.09 and 10,001.12 is: 13,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.84 : 19,977.09 = 10,001.12 : x
  2. Step 2: Convert to fraction form
    14,465.84/19,977.09 = 10,001.12/x
  3. Step 3: Cross multiply
    14,465.84x = 19,977.09 × 10,001.12
  4. Step 4: Simplify right side
    14,465.84x = 199,793,324.28
  5. Step 5: Solve for x
    x = 199,793,324.28/14,465.84
  6. Step 6: Final answer
    x = 13,811.39

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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.