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Finding the Fourth Proportional to 15,045.84, 22,564.08 and 5,048.64

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Solution

The fourth proportional to 15,045.84, 22,564.08 and 5,048.64 is: 7,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,045.84 : 22,564.08 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    15,045.84/22,564.08 = 5,048.64/x
  3. Step 3: Cross multiply
    15,045.84x = 22,564.08 × 5,048.64
  4. Step 4: Simplify right side
    15,045.84x = 113,917,916.85
  5. Step 5: Solve for x
    x = 113,917,916.85/15,045.84
  6. Step 6: Final answer
    x = 7,571.39

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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.