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Finding the Fourth Proportional to 14,921.64, 20,585.70 and 9,615.72

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Solution

The fourth proportional to 14,921.64, 20,585.70 and 9,615.72 is: 13,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.64 : 20,585.70 = 9,615.72 : x
  2. Step 2: Convert to fraction form
    14,921.64/20,585.70 = 9,615.72/x
  3. Step 3: Cross multiply
    14,921.64x = 20,585.70 × 9,615.72
  4. Step 4: Simplify right side
    14,921.64x = 197,946,327.20
  5. Step 5: Solve for x
    x = 197,946,327.20/14,921.64
  6. Step 6: Final answer
    x = 13,265.72

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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.