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Finding the Fourth Proportional to 34,400.18, 51,603 and 14,678.90

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Solution

The fourth proportional to 34,400.18, 51,603 and 14,678.90 is: 22,019.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.18 : 51,603 = 14,678.90 : x
  2. Step 2: Convert to fraction form
    34,400.18/51,603 = 14,678.90/x
  3. Step 3: Cross multiply
    34,400.18x = 51,603 × 14,678.90
  4. Step 4: Simplify right side
    34,400.18x = 757,475,276.70
  5. Step 5: Solve for x
    x = 757,475,276.70/34,400.18
  6. Step 6: Final answer
    x = 22,019.51

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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.