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Finding the Fourth Proportional to 14,784.75, 20,406.42 and 9,749.88

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Solution

The fourth proportional to 14,784.75, 20,406.42 and 9,749.88 is: 13,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.75 : 20,406.42 = 9,749.88 : x
  2. Step 2: Convert to fraction form
    14,784.75/20,406.42 = 9,749.88/x
  3. Step 3: Cross multiply
    14,784.75x = 20,406.42 × 9,749.88
  4. Step 4: Simplify right side
    14,784.75x = 198,960,146.23
  5. Step 5: Solve for x
    x = 198,960,146.23/14,784.75
  6. Step 6: Final answer
    x = 13,457.12

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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.