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Finding the Fourth Proportional to 16,946.64, 23,386.32 and 9,393

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Solution

The fourth proportional to 16,946.64, 23,386.32 and 9,393 is: 12,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.64 : 23,386.32 = 9,393 : x
  2. Step 2: Convert to fraction form
    16,946.64/23,386.32 = 9,393/x
  3. Step 3: Cross multiply
    16,946.64x = 23,386.32 × 9,393
  4. Step 4: Simplify right side
    16,946.64x = 219,667,703.76
  5. Step 5: Solve for x
    x = 219,667,703.76/16,946.64
  6. Step 6: Final answer
    x = 12,962.32

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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.