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Finding the Fourth Proportional to 14,089.67, 19,444.33 and 7,802.05

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Solution

The fourth proportional to 14,089.67, 19,444.33 and 7,802.05 is: 10,767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.67 : 19,444.33 = 7,802.05 : x
  2. Step 2: Convert to fraction form
    14,089.67/19,444.33 = 7,802.05/x
  3. Step 3: Cross multiply
    14,089.67x = 19,444.33 × 7,802.05
  4. Step 4: Simplify right side
    14,089.67x = 151,705,537.65
  5. Step 5: Solve for x
    x = 151,705,537.65/14,089.67
  6. Step 6: Final answer
    x = 10,767.15

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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.