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Finding the Fourth Proportional to 23,288.56, 32,138.08 and 12,678.40

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Solution

The fourth proportional to 23,288.56, 32,138.08 and 12,678.40 is: 17,496.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,288.56 : 32,138.08 = 12,678.40 : x
  2. Step 2: Convert to fraction form
    23,288.56/32,138.08 = 12,678.40/x
  3. Step 3: Cross multiply
    23,288.56x = 32,138.08 × 12,678.40
  4. Step 4: Simplify right side
    23,288.56x = 407,459,433.47
  5. Step 5: Solve for x
    x = 407,459,433.47/23,288.56
  6. Step 6: Final answer
    x = 17,496.12

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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.