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Finding the Fourth Proportional to 17,574.39, 24,252.57 and 10,021.05

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Solution

The fourth proportional to 17,574.39, 24,252.57 and 10,021.05 is: 13,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.39 : 24,252.57 = 10,021.05 : x
  2. Step 2: Convert to fraction form
    17,574.39/24,252.57 = 10,021.05/x
  3. Step 3: Cross multiply
    17,574.39x = 24,252.57 × 10,021.05
  4. Step 4: Simplify right side
    17,574.39x = 243,036,216.60
  5. Step 5: Solve for x
    x = 243,036,216.60/17,574.39
  6. Step 6: Final answer
    x = 13,829.00

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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.