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Finding the Fourth Proportional to 24,571.29, 36,859.32 and 9,776.74

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Solution

The fourth proportional to 24,571.29, 36,859.32 and 9,776.74 is: 14,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.29 : 36,859.32 = 9,776.74 : x
  2. Step 2: Convert to fraction form
    24,571.29/36,859.32 = 9,776.74/x
  3. Step 3: Cross multiply
    24,571.29x = 36,859.32 × 9,776.74
  4. Step 4: Simplify right side
    24,571.29x = 360,364,167.22
  5. Step 5: Solve for x
    x = 360,364,167.22/24,571.29
  6. Step 6: Final answer
    x = 14,666.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.