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Finding the Fourth Proportional to 22,965.40, 34,448.10 and 16,355.80

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Solution

The fourth proportional to 22,965.40, 34,448.10 and 16,355.80 is: 24,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.40 : 34,448.10 = 16,355.80 : x
  2. Step 2: Convert to fraction form
    22,965.40/34,448.10 = 16,355.80/x
  3. Step 3: Cross multiply
    22,965.40x = 34,448.10 × 16,355.80
  4. Step 4: Simplify right side
    22,965.40x = 563,426,233.98
  5. Step 5: Solve for x
    x = 563,426,233.98/22,965.40
  6. Step 6: Final answer
    x = 24,533.70

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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.