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Finding the Fourth Proportional to 14,702.46, 22,053.69 and 4,314.30

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Solution

The fourth proportional to 14,702.46, 22,053.69 and 4,314.30 is: 6,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.46 : 22,053.69 = 4,314.30 : x
  2. Step 2: Convert to fraction form
    14,702.46/22,053.69 = 4,314.30/x
  3. Step 3: Cross multiply
    14,702.46x = 22,053.69 × 4,314.30
  4. Step 4: Simplify right side
    14,702.46x = 95,146,234.77
  5. Step 5: Solve for x
    x = 95,146,234.77/14,702.46
  6. Step 6: Final answer
    x = 6,471.45

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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.