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Finding the Fourth Proportional to 14,776.30, 20,386.92 and 9,461.89

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Solution

The fourth proportional to 14,776.30, 20,386.92 and 9,461.89 is: 13,054.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.30 : 20,386.92 = 9,461.89 : x
  2. Step 2: Convert to fraction form
    14,776.30/20,386.92 = 9,461.89/x
  3. Step 3: Cross multiply
    14,776.30x = 20,386.92 × 9,461.89
  4. Step 4: Simplify right side
    14,776.30x = 192,898,794.48
  5. Step 5: Solve for x
    x = 192,898,794.48/14,776.30
  6. Step 6: Final answer
    x = 13,054.61

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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.