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Finding the Fourth Proportional to 17,967.75, 24,792.58 and 10,009.77

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Solution

The fourth proportional to 17,967.75, 24,792.58 and 10,009.77 is: 13,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.75 : 24,792.58 = 10,009.77 : x
  2. Step 2: Convert to fraction form
    17,967.75/24,792.58 = 10,009.77/x
  3. Step 3: Cross multiply
    17,967.75x = 24,792.58 × 10,009.77
  4. Step 4: Simplify right side
    17,967.75x = 248,168,023.51
  5. Step 5: Solve for x
    x = 248,168,023.51/17,967.75
  6. Step 6: Final answer
    x = 13,811.86

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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.