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Finding the Fourth Proportional to 23,669.64, 32,663.61 and 12,914.01

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Solution

The fourth proportional to 23,669.64, 32,663.61 and 12,914.01 is: 17,821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669.64 : 32,663.61 = 12,914.01 : x
  2. Step 2: Convert to fraction form
    23,669.64/32,663.61 = 12,914.01/x
  3. Step 3: Cross multiply
    23,669.64x = 32,663.61 × 12,914.01
  4. Step 4: Simplify right side
    23,669.64x = 421,818,186.18
  5. Step 5: Solve for x
    x = 421,818,186.18/23,669.64
  6. Step 6: Final answer
    x = 17,821.06

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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.