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Finding the Fourth Proportional to 14,904.45, 20,570.09 and 9,614.64

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Solution

The fourth proportional to 14,904.45, 20,570.09 and 9,614.64 is: 13,269.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904.45 : 20,570.09 = 9,614.64 : x
  2. Step 2: Convert to fraction form
    14,904.45/20,570.09 = 9,614.64/x
  3. Step 3: Cross multiply
    14,904.45x = 20,570.09 × 9,614.64
  4. Step 4: Simplify right side
    14,904.45x = 197,774,039.18
  5. Step 5: Solve for x
    x = 197,774,039.18/14,904.45
  6. Step 6: Final answer
    x = 13,269.46

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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.