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Finding the Fourth Proportional to 23,770, 32,802.60 and 13,834

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Solution

The fourth proportional to 23,770, 32,802.60 and 13,834 is: 19,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770 : 32,802.60 = 13,834 : x
  2. Step 2: Convert to fraction form
    23,770/32,802.60 = 13,834/x
  3. Step 3: Cross multiply
    23,770x = 32,802.60 × 13,834
  4. Step 4: Simplify right side
    23,770x = 453,791,168.40
  5. Step 5: Solve for x
    x = 453,791,168.40/23,770
  6. Step 6: Final answer
    x = 19,090.92

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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.