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Finding the Fourth Proportional to 23,264.27, 32,103.77 and 12,653.91

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Solution

The fourth proportional to 23,264.27, 32,103.77 and 12,653.91 is: 17,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.27 : 32,103.77 = 12,653.91 : x
  2. Step 2: Convert to fraction form
    23,264.27/32,103.77 = 12,653.91/x
  3. Step 3: Cross multiply
    23,264.27x = 32,103.77 × 12,653.91
  4. Step 4: Simplify right side
    23,264.27x = 406,238,216.24
  5. Step 5: Solve for x
    x = 406,238,216.24/23,264.27
  6. Step 6: Final answer
    x = 17,461.89

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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.