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Finding the Fourth Proportional to 17,775.36, 24,516 and 16,583.04

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Solution

The fourth proportional to 17,775.36, 24,516 and 16,583.04 is: 22,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.36 : 24,516 = 16,583.04 : x
  2. Step 2: Convert to fraction form
    17,775.36/24,516 = 16,583.04/x
  3. Step 3: Cross multiply
    17,775.36x = 24,516 × 16,583.04
  4. Step 4: Simplify right side
    17,775.36x = 406,549,808.64
  5. Step 5: Solve for x
    x = 406,549,808.64/17,775.36
  6. Step 6: Final answer
    x = 22,871.54

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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.