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Finding the Fourth Proportional to 14,249.01, 19,670.55 and 10,009.08

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Solution

The fourth proportional to 14,249.01, 19,670.55 and 10,009.08 is: 13,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.01 : 19,670.55 = 10,009.08 : x
  2. Step 2: Convert to fraction form
    14,249.01/19,670.55 = 10,009.08/x
  3. Step 3: Cross multiply
    14,249.01x = 19,670.55 × 10,009.08
  4. Step 4: Simplify right side
    14,249.01x = 196,884,108.59
  5. Step 5: Solve for x
    x = 196,884,108.59/14,249.01
  6. Step 6: Final answer
    x = 13,817.39

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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.