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Finding the Fourth Proportional to 22,996.71, 34,495.07 and 7,416.63

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Solution

The fourth proportional to 22,996.71, 34,495.07 and 7,416.63 is: 11,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.71 : 34,495.07 = 7,416.63 : x
  2. Step 2: Convert to fraction form
    22,996.71/34,495.07 = 7,416.63/x
  3. Step 3: Cross multiply
    22,996.71x = 34,495.07 × 7,416.63
  4. Step 4: Simplify right side
    22,996.71x = 255,837,133.93
  5. Step 5: Solve for x
    x = 255,837,133.93/22,996.71
  6. Step 6: Final answer
    x = 11,124.95

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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.