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Finding the Fourth Proportional to 14,307.64, 21,461.36 and 4,446.90

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Solution

The fourth proportional to 14,307.64, 21,461.36 and 4,446.90 is: 6,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.64 : 21,461.36 = 4,446.90 : x
  2. Step 2: Convert to fraction form
    14,307.64/21,461.36 = 4,446.90/x
  3. Step 3: Cross multiply
    14,307.64x = 21,461.36 × 4,446.90
  4. Step 4: Simplify right side
    14,307.64x = 95,436,499.55
  5. Step 5: Solve for x
    x = 95,436,499.55/14,307.64
  6. Step 6: Final answer
    x = 6,670.32

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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.