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Finding the Fourth Proportional to 23,264.17, 32,104.31 and 12,653.80

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Solution

The fourth proportional to 23,264.17, 32,104.31 and 12,653.80 is: 17,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.17 : 32,104.31 = 12,653.80 : x
  2. Step 2: Convert to fraction form
    23,264.17/32,104.31 = 12,653.80/x
  3. Step 3: Cross multiply
    23,264.17x = 32,104.31 × 12,653.80
  4. Step 4: Simplify right side
    23,264.17x = 406,241,549.51
  5. Step 5: Solve for x
    x = 406,241,549.51/23,264.17
  6. Step 6: Final answer
    x = 17,462.11

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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.