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Finding the Fourth Proportional to 17,845.74, 24,627.24 and 9,888.48

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Solution

The fourth proportional to 17,845.74, 24,627.24 and 9,888.48 is: 13,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,845.74 : 24,627.24 = 9,888.48 : x
  2. Step 2: Convert to fraction form
    17,845.74/24,627.24 = 9,888.48/x
  3. Step 3: Cross multiply
    17,845.74x = 24,627.24 × 9,888.48
  4. Step 4: Simplify right side
    17,845.74x = 243,525,970.20
  5. Step 5: Solve for x
    x = 243,525,970.20/17,845.74
  6. Step 6: Final answer
    x = 13,646.17

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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.