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Finding the Fourth Proportional to 13,746.29, 18,969.95 and 7,777.83

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Solution

The fourth proportional to 13,746.29, 18,969.95 and 7,777.83 is: 10,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.29 : 18,969.95 = 7,777.83 : x
  2. Step 2: Convert to fraction form
    13,746.29/18,969.95 = 7,777.83/x
  3. Step 3: Cross multiply
    13,746.29x = 18,969.95 × 7,777.83
  4. Step 4: Simplify right side
    13,746.29x = 147,545,007.32
  5. Step 5: Solve for x
    x = 147,545,007.32/13,746.29
  6. Step 6: Final answer
    x = 10,733.45

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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.