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Finding the Fourth Proportional to 14,527.32, 20,048.58 and 8,156

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Solution

The fourth proportional to 14,527.32, 20,048.58 and 8,156 is: 11,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.32 : 20,048.58 = 8,156 : x
  2. Step 2: Convert to fraction form
    14,527.32/20,048.58 = 8,156/x
  3. Step 3: Cross multiply
    14,527.32x = 20,048.58 × 8,156
  4. Step 4: Simplify right side
    14,527.32x = 163,516,218.48
  5. Step 5: Solve for x
    x = 163,516,218.48/14,527.32
  6. Step 6: Final answer
    x = 11,255.77

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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.