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Finding the Fourth Proportional to 23,133.50, 31,907.71 and 15,966.12

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Solution

The fourth proportional to 23,133.50, 31,907.71 and 15,966.12 is: 22,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133.50 : 31,907.71 = 15,966.12 : x
  2. Step 2: Convert to fraction form
    23,133.50/31,907.71 = 15,966.12/x
  3. Step 3: Cross multiply
    23,133.50x = 31,907.71 × 15,966.12
  4. Step 4: Simplify right side
    23,133.50x = 509,442,326.79
  5. Step 5: Solve for x
    x = 509,442,326.79/23,133.50
  6. Step 6: Final answer
    x = 22,021.84

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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.