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Finding the Fourth Proportional to 14,102.39, 19,461.93 and 7,814.36

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Solution

The fourth proportional to 14,102.39, 19,461.93 and 7,814.36 is: 10,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.39 : 19,461.93 = 7,814.36 : x
  2. Step 2: Convert to fraction form
    14,102.39/19,461.93 = 7,814.36/x
  3. Step 3: Cross multiply
    14,102.39x = 19,461.93 × 7,814.36
  4. Step 4: Simplify right side
    14,102.39x = 152,082,527.31
  5. Step 5: Solve for x
    x = 152,082,527.31/14,102.39
  6. Step 6: Final answer
    x = 10,784.17

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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.