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Finding the Fourth Proportional to 16,713.60, 23,046 and 11,411.52

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Solution

The fourth proportional to 16,713.60, 23,046 and 11,411.52 is: 15,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.60 : 23,046 = 11,411.52 : x
  2. Step 2: Convert to fraction form
    16,713.60/23,046 = 11,411.52/x
  3. Step 3: Cross multiply
    16,713.60x = 23,046 × 11,411.52
  4. Step 4: Simplify right side
    16,713.60x = 262,989,889.92
  5. Step 5: Solve for x
    x = 262,989,889.92/16,713.60
  6. Step 6: Final answer
    x = 15,735.08

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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.