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Finding the Fourth Proportional to 13,771.77, 19,005.19 and 7,484.14

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Solution

The fourth proportional to 13,771.77, 19,005.19 and 7,484.14 is: 10,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.77 : 19,005.19 = 7,484.14 : x
  2. Step 2: Convert to fraction form
    13,771.77/19,005.19 = 7,484.14/x
  3. Step 3: Cross multiply
    13,771.77x = 19,005.19 × 7,484.14
  4. Step 4: Simplify right side
    13,771.77x = 142,237,502.69
  5. Step 5: Solve for x
    x = 142,237,502.69/13,771.77
  6. Step 6: Final answer
    x = 10,328.20

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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.