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Finding the Fourth Proportional to 23,203.12, 32,005.74 and 13,765

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Solution

The fourth proportional to 23,203.12, 32,005.74 and 13,765 is: 18,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.12 : 32,005.74 = 13,765 : x
  2. Step 2: Convert to fraction form
    23,203.12/32,005.74 = 13,765/x
  3. Step 3: Cross multiply
    23,203.12x = 32,005.74 × 13,765
  4. Step 4: Simplify right side
    23,203.12x = 440,559,011.10
  5. Step 5: Solve for x
    x = 440,559,011.10/23,203.12
  6. Step 6: Final answer
    x = 18,987.06

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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.