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Finding the Fourth Proportional to 14,156.15, 21,234.69 and 6,364.98

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Solution

The fourth proportional to 14,156.15, 21,234.69 and 6,364.98 is: 9,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.15 : 21,234.69 = 6,364.98 : x
  2. Step 2: Convert to fraction form
    14,156.15/21,234.69 = 6,364.98/x
  3. Step 3: Cross multiply
    14,156.15x = 21,234.69 × 6,364.98
  4. Step 4: Simplify right side
    14,156.15x = 135,158,377.16
  5. Step 5: Solve for x
    x = 135,158,377.16/14,156.15
  6. Step 6: Final answer
    x = 9,547.68

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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.