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Finding the Fourth Proportional to 13,209.51, 19,820.76 and 5,311.71

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Solution

The fourth proportional to 13,209.51, 19,820.76 and 5,311.71 is: 7,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.51 : 19,820.76 = 5,311.71 : x
  2. Step 2: Convert to fraction form
    13,209.51/19,820.76 = 5,311.71/x
  3. Step 3: Cross multiply
    13,209.51x = 19,820.76 × 5,311.71
  4. Step 4: Simplify right side
    13,209.51x = 105,282,109.18
  5. Step 5: Solve for x
    x = 105,282,109.18/13,209.51
  6. Step 6: Final answer
    x = 7,970.17

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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.