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Finding the Fourth Proportional to 14,506.84, 21,760.26 and 4,646.08

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Solution

The fourth proportional to 14,506.84, 21,760.26 and 4,646.08 is: 6,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.84 : 21,760.26 = 4,646.08 : x
  2. Step 2: Convert to fraction form
    14,506.84/21,760.26 = 4,646.08/x
  3. Step 3: Cross multiply
    14,506.84x = 21,760.26 × 4,646.08
  4. Step 4: Simplify right side
    14,506.84x = 101,099,908.78
  5. Step 5: Solve for x
    x = 101,099,908.78/14,506.84
  6. Step 6: Final answer
    x = 6,969.12

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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.