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Finding the Fourth Proportional to 13,802.09, 19,046.88 and 7,514.46

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Solution

The fourth proportional to 13,802.09, 19,046.88 and 7,514.46 is: 10,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.09 : 19,046.88 = 7,514.46 : x
  2. Step 2: Convert to fraction form
    13,802.09/19,046.88 = 7,514.46/x
  3. Step 3: Cross multiply
    13,802.09x = 19,046.88 × 7,514.46
  4. Step 4: Simplify right side
    13,802.09x = 143,127,084.29
  5. Step 5: Solve for x
    x = 143,127,084.29/13,802.09
  6. Step 6: Final answer
    x = 10,369.96

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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.