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Finding the Fourth Proportional to 13,778.52, 19,023.48 and 10,586.16

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Solution

The fourth proportional to 13,778.52, 19,023.48 and 10,586.16 is: 14,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.52 : 19,023.48 = 10,586.16 : x
  2. Step 2: Convert to fraction form
    13,778.52/19,023.48 = 10,586.16/x
  3. Step 3: Cross multiply
    13,778.52x = 19,023.48 × 10,586.16
  4. Step 4: Simplify right side
    13,778.52x = 201,385,603.04
  5. Step 5: Solve for x
    x = 201,385,603.04/13,778.52
  6. Step 6: Final answer
    x = 14,615.91

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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.