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Finding the Fourth Proportional to 32,724, 45,159.60 and 17,820

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Solution

The fourth proportional to 32,724, 45,159.60 and 17,820 is: 24,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 45,159.60 = 17,820 : x
  2. Step 2: Convert to fraction form
    32,724/45,159.60 = 17,820/x
  3. Step 3: Cross multiply
    32,724x = 45,159.60 × 17,820
  4. Step 4: Simplify right side
    32,724x = 804,744,072
  5. Step 5: Solve for x
    x = 804,744,072/32,724
  6. Step 6: Final answer
    x = 24,591.86

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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.