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Finding the Fourth Proportional to 14,152.70, 21,223.65 and 4,288.70

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Solution

The fourth proportional to 14,152.70, 21,223.65 and 4,288.70 is: 6,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.70 : 21,223.65 = 4,288.70 : x
  2. Step 2: Convert to fraction form
    14,152.70/21,223.65 = 4,288.70/x
  3. Step 3: Cross multiply
    14,152.70x = 21,223.65 × 4,288.70
  4. Step 4: Simplify right side
    14,152.70x = 91,021,867.76
  5. Step 5: Solve for x
    x = 91,021,867.76/14,152.70
  6. Step 6: Final answer
    x = 6,431.41

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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.