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Finding the Fourth Proportional to 14,875.64, 20,527.71 and 8,161.13

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Solution

The fourth proportional to 14,875.64, 20,527.71 and 8,161.13 is: 11,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,875.64 : 20,527.71 = 8,161.13 : x
  2. Step 2: Convert to fraction form
    14,875.64/20,527.71 = 8,161.13/x
  3. Step 3: Cross multiply
    14,875.64x = 20,527.71 × 8,161.13
  4. Step 4: Simplify right side
    14,875.64x = 167,529,207.27
  5. Step 5: Solve for x
    x = 167,529,207.27/14,875.64
  6. Step 6: Final answer
    x = 11,261.99

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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.