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Finding the Fourth Proportional to 23,714.48, 32,741.88 and 14,765.60

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Solution

The fourth proportional to 23,714.48, 32,741.88 and 14,765.60 is: 20,386.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.48 : 32,741.88 = 14,765.60 : x
  2. Step 2: Convert to fraction form
    23,714.48/32,741.88 = 14,765.60/x
  3. Step 3: Cross multiply
    23,714.48x = 32,741.88 × 14,765.60
  4. Step 4: Simplify right side
    23,714.48x = 483,453,503.33
  5. Step 5: Solve for x
    x = 483,453,503.33/23,714.48
  6. Step 6: Final answer
    x = 20,386.43

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