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Finding the Fourth Proportional to 23,817.80, 35,719.95 and 9,015.86

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Solution

The fourth proportional to 23,817.80, 35,719.95 and 9,015.86 is: 13,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,817.80 : 35,719.95 = 9,015.86 : x
  2. Step 2: Convert to fraction form
    23,817.80/35,719.95 = 9,015.86/x
  3. Step 3: Cross multiply
    23,817.80x = 35,719.95 × 9,015.86
  4. Step 4: Simplify right side
    23,817.80x = 322,046,068.41
  5. Step 5: Solve for x
    x = 322,046,068.41/23,817.80
  6. Step 6: Final answer
    x = 13,521.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.