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Finding the Fourth Proportional to 17,838.90, 24,617.39 and 9,881.46

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Solution

The fourth proportional to 17,838.90, 24,617.39 and 9,881.46 is: 13,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.90 : 24,617.39 = 9,881.46 : x
  2. Step 2: Convert to fraction form
    17,838.90/24,617.39 = 9,881.46/x
  3. Step 3: Cross multiply
    17,838.90x = 24,617.39 × 9,881.46
  4. Step 4: Simplify right side
    17,838.90x = 243,255,705.18
  5. Step 5: Solve for x
    x = 243,255,705.18/17,838.90
  6. Step 6: Final answer
    x = 13,636.25

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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.