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Finding the Fourth Proportional to 23,770.40, 32,802.94 and 13,159.76

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Solution

The fourth proportional to 23,770.40, 32,802.94 and 13,159.76 is: 18,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.40 : 32,802.94 = 13,159.76 : x
  2. Step 2: Convert to fraction form
    23,770.40/32,802.94 = 13,159.76/x
  3. Step 3: Cross multiply
    23,770.40x = 32,802.94 × 13,159.76
  4. Step 4: Simplify right side
    23,770.40x = 431,678,817.69
  5. Step 5: Solve for x
    x = 431,678,817.69/23,770.40
  6. Step 6: Final answer
    x = 18,160.35

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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.