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Finding the Fourth Proportional to 14,513.64, 21,774.72 and 4,652.70

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Solution

The fourth proportional to 14,513.64, 21,774.72 and 4,652.70 is: 6,980.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.64 : 21,774.72 = 4,652.70 : x
  2. Step 2: Convert to fraction form
    14,513.64/21,774.72 = 4,652.70/x
  3. Step 3: Cross multiply
    14,513.64x = 21,774.72 × 4,652.70
  4. Step 4: Simplify right side
    14,513.64x = 101,311,239.74
  5. Step 5: Solve for x
    x = 101,311,239.74/14,513.64
  6. Step 6: Final answer
    x = 6,980.42

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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.