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Finding the Fourth Proportional to 14,112.16, 19,465.94 and 9,082.92

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Solution

The fourth proportional to 14,112.16, 19,465.94 and 9,082.92 is: 12,528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.16 : 19,465.94 = 9,082.92 : x
  2. Step 2: Convert to fraction form
    14,112.16/19,465.94 = 9,082.92/x
  3. Step 3: Cross multiply
    14,112.16x = 19,465.94 × 9,082.92
  4. Step 4: Simplify right side
    14,112.16x = 176,807,575.74
  5. Step 5: Solve for x
    x = 176,807,575.74/14,112.16
  6. Step 6: Final answer
    x = 12,528.74

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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.