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Finding the Fourth Proportional to 13,281.76, 19,926 and 9,537.84

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Solution

The fourth proportional to 13,281.76, 19,926 and 9,537.84 is: 14,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.76 : 19,926 = 9,537.84 : x
  2. Step 2: Convert to fraction form
    13,281.76/19,926 = 9,537.84/x
  3. Step 3: Cross multiply
    13,281.76x = 19,926 × 9,537.84
  4. Step 4: Simplify right side
    13,281.76x = 190,050,999.84
  5. Step 5: Solve for x
    x = 190,050,999.84/13,281.76
  6. Step 6: Final answer
    x = 14,309.17

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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.