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Finding the Fourth Proportional to 14,532.50, 21,801.99 and 5,298.50

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Solution

The fourth proportional to 14,532.50, 21,801.99 and 5,298.50 is: 7,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.50 : 21,801.99 = 5,298.50 : x
  2. Step 2: Convert to fraction form
    14,532.50/21,801.99 = 5,298.50/x
  3. Step 3: Cross multiply
    14,532.50x = 21,801.99 × 5,298.50
  4. Step 4: Simplify right side
    14,532.50x = 115,517,844.02
  5. Step 5: Solve for x
    x = 115,517,844.02/14,532.50
  6. Step 6: Final answer
    x = 7,948.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.