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Finding the Fourth Proportional to 14,432.40, 21,638.04 and 4,566.16

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Solution

The fourth proportional to 14,432.40, 21,638.04 and 4,566.16 is: 6,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.40 : 21,638.04 = 4,566.16 : x
  2. Step 2: Convert to fraction form
    14,432.40/21,638.04 = 4,566.16/x
  3. Step 3: Cross multiply
    14,432.40x = 21,638.04 × 4,566.16
  4. Step 4: Simplify right side
    14,432.40x = 98,802,752.73
  5. Step 5: Solve for x
    x = 98,802,752.73/14,432.40
  6. Step 6: Final answer
    x = 6,845.90

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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.