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Finding the Fourth Proportional to 24,193.33, 36,290 and 7,554.79

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Solution

The fourth proportional to 24,193.33, 36,290 and 7,554.79 is: 11,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.33 : 36,290 = 7,554.79 : x
  2. Step 2: Convert to fraction form
    24,193.33/36,290 = 7,554.79/x
  3. Step 3: Cross multiply
    24,193.33x = 36,290 × 7,554.79
  4. Step 4: Simplify right side
    24,193.33x = 274,163,329.10
  5. Step 5: Solve for x
    x = 274,163,329.10/24,193.33
  6. Step 6: Final answer
    x = 11,332.19

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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.