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Finding the Fourth Proportional to 23,086.16, 31,856.16 and 14,138.90

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Solution

The fourth proportional to 23,086.16, 31,856.16 and 14,138.90 is: 19,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086.16 : 31,856.16 = 14,138.90 : x
  2. Step 2: Convert to fraction form
    23,086.16/31,856.16 = 14,138.90/x
  3. Step 3: Cross multiply
    23,086.16x = 31,856.16 × 14,138.90
  4. Step 4: Simplify right side
    23,086.16x = 450,411,060.62
  5. Step 5: Solve for x
    x = 450,411,060.62/23,086.16
  6. Step 6: Final answer
    x = 19,510.00

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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.