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Finding the Fourth Proportional to 17,967.20, 24,795.78 and 10,009.16

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Solution

The fourth proportional to 17,967.20, 24,795.78 and 10,009.16 is: 13,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.20 : 24,795.78 = 10,009.16 : x
  2. Step 2: Convert to fraction form
    17,967.20/24,795.78 = 10,009.16/x
  3. Step 3: Cross multiply
    17,967.20x = 24,795.78 × 10,009.16
  4. Step 4: Simplify right side
    17,967.20x = 248,184,929.34
  5. Step 5: Solve for x
    x = 248,184,929.34/17,967.20
  6. Step 6: Final answer
    x = 13,813.22

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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.