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Finding the Fourth Proportional to 15,901.90, 23,816.40 and 15,537.40

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Solution

The fourth proportional to 15,901.90, 23,816.40 and 15,537.40 is: 23,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.90 : 23,816.40 = 15,537.40 : x
  2. Step 2: Convert to fraction form
    15,901.90/23,816.40 = 15,537.40/x
  3. Step 3: Cross multiply
    15,901.90x = 23,816.40 × 15,537.40
  4. Step 4: Simplify right side
    15,901.90x = 370,044,933.36
  5. Step 5: Solve for x
    x = 370,044,933.36/15,901.90
  6. Step 6: Final answer
    x = 23,270.49

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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.