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Finding the Fourth Proportional to 14,646.53, 21,954.27 and 4,783.16

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Solution

The fourth proportional to 14,646.53, 21,954.27 and 4,783.16 is: 7,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.53 : 21,954.27 = 4,783.16 : x
  2. Step 2: Convert to fraction form
    14,646.53/21,954.27 = 4,783.16/x
  3. Step 3: Cross multiply
    14,646.53x = 21,954.27 × 4,783.16
  4. Step 4: Simplify right side
    14,646.53x = 105,010,676.32
  5. Step 5: Solve for x
    x = 105,010,676.32/14,646.53
  6. Step 6: Final answer
    x = 7,169.66

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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.