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Finding the Fourth Proportional to 24,415.16, 36,622.74 and 7,780.29

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Solution

The fourth proportional to 24,415.16, 36,622.74 and 7,780.29 is: 11,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.16 : 36,622.74 = 7,780.29 : x
  2. Step 2: Convert to fraction form
    24,415.16/36,622.74 = 7,780.29/x
  3. Step 3: Cross multiply
    24,415.16x = 36,622.74 × 7,780.29
  4. Step 4: Simplify right side
    24,415.16x = 284,935,537.79
  5. Step 5: Solve for x
    x = 284,935,537.79/24,415.16
  6. Step 6: Final answer
    x = 11,670.44

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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.