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Finding the Fourth Proportional to 12,952.08, 19,382.76 and 9,657

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Solution

The fourth proportional to 12,952.08, 19,382.76 and 9,657 is: 14,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.08 : 19,382.76 = 9,657 : x
  2. Step 2: Convert to fraction form
    12,952.08/19,382.76 = 9,657/x
  3. Step 3: Cross multiply
    12,952.08x = 19,382.76 × 9,657
  4. Step 4: Simplify right side
    12,952.08x = 187,179,313.32
  5. Step 5: Solve for x
    x = 187,179,313.32/12,952.08
  6. Step 6: Final answer
    x = 14,451.68

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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.