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Finding the Fourth Proportional to 23,336.16, 32,203.20 and 12,726

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Solution

The fourth proportional to 23,336.16, 32,203.20 and 12,726 is: 17,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,336.16 : 32,203.20 = 12,726 : x
  2. Step 2: Convert to fraction form
    23,336.16/32,203.20 = 12,726/x
  3. Step 3: Cross multiply
    23,336.16x = 32,203.20 × 12,726
  4. Step 4: Simplify right side
    23,336.16x = 409,817,923.20
  5. Step 5: Solve for x
    x = 409,817,923.20/23,336.16
  6. Step 6: Final answer
    x = 17,561.50

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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.