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Finding the Fourth Proportional to 14,254.10, 21,379.88 and 6,357

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Solution

The fourth proportional to 14,254.10, 21,379.88 and 6,357 is: 9,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.10 : 21,379.88 = 6,357 : x
  2. Step 2: Convert to fraction form
    14,254.10/21,379.88 = 6,357/x
  3. Step 3: Cross multiply
    14,254.10x = 21,379.88 × 6,357
  4. Step 4: Simplify right side
    14,254.10x = 135,911,865.38
  5. Step 5: Solve for x
    x = 135,911,865.38/14,254.10
  6. Step 6: Final answer
    x = 9,534.93

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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.