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Finding the Fourth Proportional to 23,486.82, 32,417.94 and 14,529.12

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Solution

The fourth proportional to 23,486.82, 32,417.94 and 14,529.12 is: 20,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,486.82 : 32,417.94 = 14,529.12 : x
  2. Step 2: Convert to fraction form
    23,486.82/32,417.94 = 14,529.12/x
  3. Step 3: Cross multiply
    23,486.82x = 32,417.94 × 14,529.12
  4. Step 4: Simplify right side
    23,486.82x = 471,004,140.41
  5. Step 5: Solve for x
    x = 471,004,140.41/23,486.82
  6. Step 6: Final answer
    x = 20,053.98

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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.