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Finding the Fourth Proportional to 23,875.44, 32,946.84 and 13,264.80

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Solution

The fourth proportional to 23,875.44, 32,946.84 and 13,264.80 is: 18,304.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875.44 : 32,946.84 = 13,264.80 : x
  2. Step 2: Convert to fraction form
    23,875.44/32,946.84 = 13,264.80/x
  3. Step 3: Cross multiply
    23,875.44x = 32,946.84 × 13,264.80
  4. Step 4: Simplify right side
    23,875.44x = 437,033,243.23
  5. Step 5: Solve for x
    x = 437,033,243.23/23,875.44
  6. Step 6: Final answer
    x = 18,304.72

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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.