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Finding the Fourth Proportional to 14,405.05, 19,888.14 and 9,875.44

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Solution

The fourth proportional to 14,405.05, 19,888.14 and 9,875.44 is: 13,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.05 : 19,888.14 = 9,875.44 : x
  2. Step 2: Convert to fraction form
    14,405.05/19,888.14 = 9,875.44/x
  3. Step 3: Cross multiply
    14,405.05x = 19,888.14 × 9,875.44
  4. Step 4: Simplify right side
    14,405.05x = 196,404,133.28
  5. Step 5: Solve for x
    x = 196,404,133.28/14,405.05
  6. Step 6: Final answer
    x = 13,634.39

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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.