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Finding the Fourth Proportional to 24,594, 33,942.60 and 13,985.28

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Solution

The fourth proportional to 24,594, 33,942.60 and 13,985.28 is: 19,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594 : 33,942.60 = 13,985.28 : x
  2. Step 2: Convert to fraction form
    24,594/33,942.60 = 13,985.28/x
  3. Step 3: Cross multiply
    24,594x = 33,942.60 × 13,985.28
  4. Step 4: Simplify right side
    24,594x = 474,696,764.93
  5. Step 5: Solve for x
    x = 474,696,764.93/24,594
  6. Step 6: Final answer
    x = 19,301.32

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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.