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Finding the Fourth Proportional to 14,855.25, 20,502.50 and 9,480.00

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Solution

The fourth proportional to 14,855.25, 20,502.50 and 9,480.00 is: 13,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.25 : 20,502.50 = 9,480.00 : x
  2. Step 2: Convert to fraction form
    14,855.25/20,502.50 = 9,480.00/x
  3. Step 3: Cross multiply
    14,855.25x = 20,502.50 × 9,480.00
  4. Step 4: Simplify right side
    14,855.25x = 194,363,782.81
  5. Step 5: Solve for x
    x = 194,363,782.81/14,855.25
  6. Step 6: Final answer
    x = 13,083.85

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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.