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Finding the Fourth Proportional to 17,623.95, 24,321.78 and 9,666.51

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Solution

The fourth proportional to 17,623.95, 24,321.78 and 9,666.51 is: 13,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.95 : 24,321.78 = 9,666.51 : x
  2. Step 2: Convert to fraction form
    17,623.95/24,321.78 = 9,666.51/x
  3. Step 3: Cross multiply
    17,623.95x = 24,321.78 × 9,666.51
  4. Step 4: Simplify right side
    17,623.95x = 235,106,729.59
  5. Step 5: Solve for x
    x = 235,106,729.59/17,623.95
  6. Step 6: Final answer
    x = 13,340.18

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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.