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Finding the Fourth Proportional to 23,011.80, 31,754.46 and 12,938.32

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Solution

The fourth proportional to 23,011.80, 31,754.46 and 12,938.32 is: 17,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011.80 : 31,754.46 = 12,938.32 : x
  2. Step 2: Convert to fraction form
    23,011.80/31,754.46 = 12,938.32/x
  3. Step 3: Cross multiply
    23,011.80x = 31,754.46 × 12,938.32
  4. Step 4: Simplify right side
    23,011.80x = 410,849,364.91
  5. Step 5: Solve for x
    x = 410,849,364.91/23,011.80
  6. Step 6: Final answer
    x = 17,853.86

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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.