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Finding the Fourth Proportional to 13,802.25, 19,047.15 and 7,514.67

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Solution

The fourth proportional to 13,802.25, 19,047.15 and 7,514.67 is: 10,370.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.25 : 19,047.15 = 7,514.67 : x
  2. Step 2: Convert to fraction form
    13,802.25/19,047.15 = 7,514.67/x
  3. Step 3: Cross multiply
    13,802.25x = 19,047.15 × 7,514.67
  4. Step 4: Simplify right side
    13,802.25x = 143,133,046.69
  5. Step 5: Solve for x
    x = 143,133,046.69/13,802.25
  6. Step 6: Final answer
    x = 10,370.27

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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.