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Finding the Fourth Proportional to 13,802.07, 19,046.85 and 7,514.45

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Solution

The fourth proportional to 13,802.07, 19,046.85 and 7,514.45 is: 10,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.07 : 19,046.85 = 7,514.45 : x
  2. Step 2: Convert to fraction form
    13,802.07/19,046.85 = 7,514.45/x
  3. Step 3: Cross multiply
    13,802.07x = 19,046.85 × 7,514.45
  4. Step 4: Simplify right side
    13,802.07x = 143,126,506.75
  5. Step 5: Solve for x
    x = 143,126,506.75/13,802.07
  6. Step 6: Final answer
    x = 10,369.93

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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.