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Finding the Fourth Proportional to 18,345.64, 27,460.12 and 13,126

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Solution

The fourth proportional to 18,345.64, 27,460.12 and 13,126 is: 19,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,345.64 : 27,460.12 = 13,126 : x
  2. Step 2: Convert to fraction form
    18,345.64/27,460.12 = 13,126/x
  3. Step 3: Cross multiply
    18,345.64x = 27,460.12 × 13,126
  4. Step 4: Simplify right side
    18,345.64x = 360,441,535.12
  5. Step 5: Solve for x
    x = 360,441,535.12/18,345.64
  6. Step 6: Final answer
    x = 19,647.26

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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.