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Finding the Fourth Proportional to 14,259.27, 19,678.44 and 7,971.65

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Solution

The fourth proportional to 14,259.27, 19,678.44 and 7,971.65 is: 11,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.27 : 19,678.44 = 7,971.65 : x
  2. Step 2: Convert to fraction form
    14,259.27/19,678.44 = 7,971.65/x
  3. Step 3: Cross multiply
    14,259.27x = 19,678.44 × 7,971.65
  4. Step 4: Simplify right side
    14,259.27x = 156,869,636.23
  5. Step 5: Solve for x
    x = 156,869,636.23/14,259.27
  6. Step 6: Final answer
    x = 11,001.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.