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Finding the Fourth Proportional to 16,370.83, 22,567.87 and 13,015

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Solution

The fourth proportional to 16,370.83, 22,567.87 and 13,015 is: 17,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.83 : 22,567.87 = 13,015 : x
  2. Step 2: Convert to fraction form
    16,370.83/22,567.87 = 13,015/x
  3. Step 3: Cross multiply
    16,370.83x = 22,567.87 × 13,015
  4. Step 4: Simplify right side
    16,370.83x = 293,720,828.05
  5. Step 5: Solve for x
    x = 293,720,828.05/16,370.83
  6. Step 6: Final answer
    x = 17,941.72

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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.