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Finding the Fourth Proportional to 16,785.64, 23,162.34 and 9,710.92

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Solution

The fourth proportional to 16,785.64, 23,162.34 and 9,710.92 is: 13,400.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.64 : 23,162.34 = 9,710.92 : x
  2. Step 2: Convert to fraction form
    16,785.64/23,162.34 = 9,710.92/x
  3. Step 3: Cross multiply
    16,785.64x = 23,162.34 × 9,710.92
  4. Step 4: Simplify right side
    16,785.64x = 224,927,630.75
  5. Step 5: Solve for x
    x = 224,927,630.75/16,785.64
  6. Step 6: Final answer
    x = 13,400.00

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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.