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Finding the Fourth Proportional to 19,286, 26,567.10 and 16,444.11

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Solution

The fourth proportional to 19,286, 26,567.10 and 16,444.11 is: 22,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,286 : 26,567.10 = 16,444.11 : x
  2. Step 2: Convert to fraction form
    19,286/26,567.10 = 16,444.11/x
  3. Step 3: Cross multiply
    19,286x = 26,567.10 × 16,444.11
  4. Step 4: Simplify right side
    19,286x = 436,872,314.78
  5. Step 5: Solve for x
    x = 436,872,314.78/19,286
  6. Step 6: Final answer
    x = 22,652.30

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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.