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Finding the Fourth Proportional to 24,417, 36,623.66 and 7,776.36

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Solution

The fourth proportional to 24,417, 36,623.66 and 7,776.36 is: 11,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 36,623.66 = 7,776.36 : x
  2. Step 2: Convert to fraction form
    24,417/36,623.66 = 7,776.36/x
  3. Step 3: Cross multiply
    24,417x = 36,623.66 × 7,776.36
  4. Step 4: Simplify right side
    24,417x = 284,798,764.68
  5. Step 5: Solve for x
    x = 284,798,764.68/24,417
  6. Step 6: Final answer
    x = 11,663.95

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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.