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Finding the Fourth Proportional to 14,478.48, 21,702.20 and 9,478.96

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Solution

The fourth proportional to 14,478.48, 21,702.20 and 9,478.96 is: 14,208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.48 : 21,702.20 = 9,478.96 : x
  2. Step 2: Convert to fraction form
    14,478.48/21,702.20 = 9,478.96/x
  3. Step 3: Cross multiply
    14,478.48x = 21,702.20 × 9,478.96
  4. Step 4: Simplify right side
    14,478.48x = 205,714,184.06
  5. Step 5: Solve for x
    x = 205,714,184.06/14,478.48
  6. Step 6: Final answer
    x = 14,208.27

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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.