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Finding the Fourth Proportional to 21,134.10, 31,702.77 and 6,341.94

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Solution

The fourth proportional to 21,134.10, 31,702.77 and 6,341.94 is: 9,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.10 : 31,702.77 = 6,341.94 : x
  2. Step 2: Convert to fraction form
    21,134.10/31,702.77 = 6,341.94/x
  3. Step 3: Cross multiply
    21,134.10x = 31,702.77 × 6,341.94
  4. Step 4: Simplify right side
    21,134.10x = 201,057,065.17
  5. Step 5: Solve for x
    x = 201,057,065.17/21,134.10
  6. Step 6: Final answer
    x = 9,513.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.