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Finding the Fourth Proportional to 13,138.56, 18,130.93 and 7,170.35

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Solution

The fourth proportional to 13,138.56, 18,130.93 and 7,170.35 is: 9,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.56 : 18,130.93 = 7,170.35 : x
  2. Step 2: Convert to fraction form
    13,138.56/18,130.93 = 7,170.35/x
  3. Step 3: Cross multiply
    13,138.56x = 18,130.93 × 7,170.35
  4. Step 4: Simplify right side
    13,138.56x = 130,005,005.34
  5. Step 5: Solve for x
    x = 130,005,005.34/13,138.56
  6. Step 6: Final answer
    x = 9,894.92

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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.