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Finding the Fourth Proportional to 14,323.68, 21,493.86 and 6,003

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Solution

The fourth proportional to 14,323.68, 21,493.86 and 6,003 is: 9,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.68 : 21,493.86 = 6,003 : x
  2. Step 2: Convert to fraction form
    14,323.68/21,493.86 = 6,003/x
  3. Step 3: Cross multiply
    14,323.68x = 21,493.86 × 6,003
  4. Step 4: Simplify right side
    14,323.68x = 129,027,641.58
  5. Step 5: Solve for x
    x = 129,027,641.58/14,323.68
  6. Step 6: Final answer
    x = 9,008.00

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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.