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Finding the Fourth Proportional to 13,138.66, 18,130.98 and 7,170.36

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Solution

The fourth proportional to 13,138.66, 18,130.98 and 7,170.36 is: 9,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.66 : 18,130.98 = 7,170.36 : x
  2. Step 2: Convert to fraction form
    13,138.66/18,130.98 = 7,170.36/x
  3. Step 3: Cross multiply
    13,138.66x = 18,130.98 × 7,170.36
  4. Step 4: Simplify right side
    13,138.66x = 130,005,653.75
  5. Step 5: Solve for x
    x = 130,005,653.75/13,138.66
  6. Step 6: Final answer
    x = 9,894.89

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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.