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Finding the Fourth Proportional to 14,240.94, 21,352.50 and 5,465.40

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Solution

The fourth proportional to 14,240.94, 21,352.50 and 5,465.40 is: 8,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.94 : 21,352.50 = 5,465.40 : x
  2. Step 2: Convert to fraction form
    14,240.94/21,352.50 = 5,465.40/x
  3. Step 3: Cross multiply
    14,240.94x = 21,352.50 × 5,465.40
  4. Step 4: Simplify right side
    14,240.94x = 116,699,953.50
  5. Step 5: Solve for x
    x = 116,699,953.50/14,240.94
  6. Step 6: Final answer
    x = 8,194.68

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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.