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Finding the Fourth Proportional to 14,259.42, 19,678.59 and 7,971.78

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Solution

The fourth proportional to 14,259.42, 19,678.59 and 7,971.78 is: 11,001.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.42 : 19,678.59 = 7,971.78 : x
  2. Step 2: Convert to fraction form
    14,259.42/19,678.59 = 7,971.78/x
  3. Step 3: Cross multiply
    14,259.42x = 19,678.59 × 7,971.78
  4. Step 4: Simplify right side
    14,259.42x = 156,873,390.19
  5. Step 5: Solve for x
    x = 156,873,390.19/14,259.42
  6. Step 6: Final answer
    x = 11,001.39

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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.