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Finding the Fourth Proportional to 23,264.16, 32,103.64 and 12,653.84

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Solution

The fourth proportional to 23,264.16, 32,103.64 and 12,653.84 is: 17,461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.16 : 32,103.64 = 12,653.84 : x
  2. Step 2: Convert to fraction form
    23,264.16/32,103.64 = 12,653.84/x
  3. Step 3: Cross multiply
    23,264.16x = 32,103.64 × 12,653.84
  4. Step 4: Simplify right side
    23,264.16x = 406,234,323.98
  5. Step 5: Solve for x
    x = 406,234,323.98/23,264.16
  6. Step 6: Final answer
    x = 17,461.81

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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.