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Finding the Fourth Proportional to 14,271.60, 21,411 and 11,523.24

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Solution

The fourth proportional to 14,271.60, 21,411 and 11,523.24 is: 17,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.60 : 21,411 = 11,523.24 : x
  2. Step 2: Convert to fraction form
    14,271.60/21,411 = 11,523.24/x
  3. Step 3: Cross multiply
    14,271.60x = 21,411 × 11,523.24
  4. Step 4: Simplify right side
    14,271.60x = 246,724,091.64
  5. Step 5: Solve for x
    x = 246,724,091.64/14,271.60
  6. Step 6: Final answer
    x = 17,287.77

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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.