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Finding the Fourth Proportional to 25,564.50, 38,370.02 and 13,093.11

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Solution

The fourth proportional to 25,564.50, 38,370.02 and 13,093.11 is: 19,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.50 : 38,370.02 = 13,093.11 : x
  2. Step 2: Convert to fraction form
    25,564.50/38,370.02 = 13,093.11/x
  3. Step 3: Cross multiply
    25,564.50x = 38,370.02 × 13,093.11
  4. Step 4: Simplify right side
    25,564.50x = 502,382,827.10
  5. Step 5: Solve for x
    x = 502,382,827.10/25,564.50
  6. Step 6: Final answer
    x = 19,651.58

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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.