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Finding the Fourth Proportional to 14,784.96, 20,384.80 and 9,471.04

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Solution

The fourth proportional to 14,784.96, 20,384.80 and 9,471.04 is: 13,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,784.96 : 20,384.80 = 9,471.04 : x
  2. Step 2: Convert to fraction form
    14,784.96/20,384.80 = 9,471.04/x
  3. Step 3: Cross multiply
    14,784.96x = 20,384.80 × 9,471.04
  4. Step 4: Simplify right side
    14,784.96x = 193,065,256.19
  5. Step 5: Solve for x
    x = 193,065,256.19/14,784.96
  6. Step 6: Final answer
    x = 13,058.22

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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.