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Finding the Fourth Proportional to 14,822.24, 20,459.84 and 8,537.12

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Solution

The fourth proportional to 14,822.24, 20,459.84 and 8,537.12 is: 11,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.24 : 20,459.84 = 8,537.12 : x
  2. Step 2: Convert to fraction form
    14,822.24/20,459.84 = 8,537.12/x
  3. Step 3: Cross multiply
    14,822.24x = 20,459.84 × 8,537.12
  4. Step 4: Simplify right side
    14,822.24x = 174,668,109.26
  5. Step 5: Solve for x
    x = 174,668,109.26/14,822.24
  6. Step 6: Final answer
    x = 11,784.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.