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Finding the Fourth Proportional to 14,978.94, 22,470.57 and 4,591.50

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Solution

The fourth proportional to 14,978.94, 22,470.57 and 4,591.50 is: 6,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,978.94 : 22,470.57 = 4,591.50 : x
  2. Step 2: Convert to fraction form
    14,978.94/22,470.57 = 4,591.50/x
  3. Step 3: Cross multiply
    14,978.94x = 22,470.57 × 4,591.50
  4. Step 4: Simplify right side
    14,978.94x = 103,173,622.16
  5. Step 5: Solve for x
    x = 103,173,622.16/14,978.94
  6. Step 6: Final answer
    x = 6,887.91

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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.