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Finding the Fourth Proportional to 14,588.50, 21,863.71 and 6,688.16

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Solution

The fourth proportional to 14,588.50, 21,863.71 and 6,688.16 is: 10,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.50 : 21,863.71 = 6,688.16 : x
  2. Step 2: Convert to fraction form
    14,588.50/21,863.71 = 6,688.16/x
  3. Step 3: Cross multiply
    14,588.50x = 21,863.71 × 6,688.16
  4. Step 4: Simplify right side
    14,588.50x = 146,227,957.23
  5. Step 5: Solve for x
    x = 146,227,957.23/14,588.50
  6. Step 6: Final answer
    x = 10,023.51

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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.