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Finding the Fourth Proportional to 14,827.60, 20,461.98 and 9,524.44

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Solution

The fourth proportional to 14,827.60, 20,461.98 and 9,524.44 is: 13,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.60 : 20,461.98 = 9,524.44 : x
  2. Step 2: Convert to fraction form
    14,827.60/20,461.98 = 9,524.44/x
  3. Step 3: Cross multiply
    14,827.60x = 20,461.98 × 9,524.44
  4. Step 4: Simplify right side
    14,827.60x = 194,888,900.79
  5. Step 5: Solve for x
    x = 194,888,900.79/14,827.60
  6. Step 6: Final answer
    x = 13,143.66

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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.