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Finding the Fourth Proportional to 13,429.32, 20,178 and 8,501.28

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Solution

The fourth proportional to 13,429.32, 20,178 and 8,501.28 is: 12,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.32 : 20,178 = 8,501.28 : x
  2. Step 2: Convert to fraction form
    13,429.32/20,178 = 8,501.28/x
  3. Step 3: Cross multiply
    13,429.32x = 20,178 × 8,501.28
  4. Step 4: Simplify right side
    13,429.32x = 171,538,827.84
  5. Step 5: Solve for x
    x = 171,538,827.84/13,429.32
  6. Step 6: Final answer
    x = 12,773.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.