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Finding the Fourth Proportional to 14,294.16, 19,685.16 and 12,865.68

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Solution

The fourth proportional to 14,294.16, 19,685.16 and 12,865.68 is: 17,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.16 : 19,685.16 = 12,865.68 : x
  2. Step 2: Convert to fraction form
    14,294.16/19,685.16 = 12,865.68/x
  3. Step 3: Cross multiply
    14,294.16x = 19,685.16 × 12,865.68
  4. Step 4: Simplify right side
    14,294.16x = 253,262,969.31
  5. Step 5: Solve for x
    x = 253,262,969.31/14,294.16
  6. Step 6: Final answer
    x = 17,717.93

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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.