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Finding the Fourth Proportional to 14,885.10, 20,537.24 and 9,582.99

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Solution

The fourth proportional to 14,885.10, 20,537.24 and 9,582.99 is: 13,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.10 : 20,537.24 = 9,582.99 : x
  2. Step 2: Convert to fraction form
    14,885.10/20,537.24 = 9,582.99/x
  3. Step 3: Cross multiply
    14,885.10x = 20,537.24 × 9,582.99
  4. Step 4: Simplify right side
    14,885.10x = 196,808,117.63
  5. Step 5: Solve for x
    x = 196,808,117.63/14,885.10
  6. Step 6: Final answer
    x = 13,221.82

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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.