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Finding the Fourth Proportional to 15,257.76, 22,880.88 and 7,044

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Solution

The fourth proportional to 15,257.76, 22,880.88 and 7,044 is: 10,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.76 : 22,880.88 = 7,044 : x
  2. Step 2: Convert to fraction form
    15,257.76/22,880.88 = 7,044/x
  3. Step 3: Cross multiply
    15,257.76x = 22,880.88 × 7,044
  4. Step 4: Simplify right side
    15,257.76x = 161,172,918.72
  5. Step 5: Solve for x
    x = 161,172,918.72/15,257.76
  6. Step 6: Final answer
    x = 10,563.34

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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.