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Finding the Fourth Proportional to 24,606.29, 36,907.09 and 9,811.25

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Solution

The fourth proportional to 24,606.29, 36,907.09 and 9,811.25 is: 14,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.29 : 36,907.09 = 9,811.25 : x
  2. Step 2: Convert to fraction form
    24,606.29/36,907.09 = 9,811.25/x
  3. Step 3: Cross multiply
    24,606.29x = 36,907.09 × 9,811.25
  4. Step 4: Simplify right side
    24,606.29x = 362,104,477.70
  5. Step 5: Solve for x
    x = 362,104,477.70/24,606.29
  6. Step 6: Final answer
    x = 14,715.93

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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.