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Finding the Fourth Proportional to 14,467.50, 21,693.43 and 7,807.58

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Solution

The fourth proportional to 14,467.50, 21,693.43 and 7,807.58 is: 11,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.50 : 21,693.43 = 7,807.58 : x
  2. Step 2: Convert to fraction form
    14,467.50/21,693.43 = 7,807.58/x
  3. Step 3: Cross multiply
    14,467.50x = 21,693.43 × 7,807.58
  4. Step 4: Simplify right side
    14,467.50x = 169,373,172.84
  5. Step 5: Solve for x
    x = 169,373,172.84/14,467.50
  6. Step 6: Final answer
    x = 11,707.15

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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.