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Finding the Fourth Proportional to 23,764.30, 32,802.03 and 13,699.46

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Solution

The fourth proportional to 23,764.30, 32,802.03 and 13,699.46 is: 18,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,764.30 : 32,802.03 = 13,699.46 : x
  2. Step 2: Convert to fraction form
    23,764.30/32,802.03 = 13,699.46/x
  3. Step 3: Cross multiply
    23,764.30x = 32,802.03 × 13,699.46
  4. Step 4: Simplify right side
    23,764.30x = 449,370,029.41
  5. Step 5: Solve for x
    x = 449,370,029.41/23,764.30
  6. Step 6: Final answer
    x = 18,909.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.