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Finding the Fourth Proportional to 14,496.48, 21,734.10 and 4,630.14

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Solution

The fourth proportional to 14,496.48, 21,734.10 and 4,630.14 is: 6,941.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.48 : 21,734.10 = 4,630.14 : x
  2. Step 2: Convert to fraction form
    14,496.48/21,734.10 = 4,630.14/x
  3. Step 3: Cross multiply
    14,496.48x = 21,734.10 × 4,630.14
  4. Step 4: Simplify right side
    14,496.48x = 100,631,925.77
  5. Step 5: Solve for x
    x = 100,631,925.77/14,496.48
  6. Step 6: Final answer
    x = 6,941.82

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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.