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Finding the Fourth Proportional to 13,038.36, 19,512.72 and 10,129.92

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Solution

The fourth proportional to 13,038.36, 19,512.72 and 10,129.92 is: 15,160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.36 : 19,512.72 = 10,129.92 : x
  2. Step 2: Convert to fraction form
    13,038.36/19,512.72 = 10,129.92/x
  3. Step 3: Cross multiply
    13,038.36x = 19,512.72 × 10,129.92
  4. Step 4: Simplify right side
    13,038.36x = 197,662,292.58
  5. Step 5: Solve for x
    x = 197,662,292.58/13,038.36
  6. Step 6: Final answer
    x = 15,160.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.