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Finding the Fourth Proportional to 13,210.29, 19,806.59 and 6,963.71

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Solution

The fourth proportional to 13,210.29, 19,806.59 and 6,963.71 is: 10,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.29 : 19,806.59 = 6,963.71 : x
  2. Step 2: Convert to fraction form
    13,210.29/19,806.59 = 6,963.71/x
  3. Step 3: Cross multiply
    13,210.29x = 19,806.59 × 6,963.71
  4. Step 4: Simplify right side
    13,210.29x = 137,927,267.23
  5. Step 5: Solve for x
    x = 137,927,267.23/13,210.29
  6. Step 6: Final answer
    x = 10,440.90

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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.