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Finding the Fourth Proportional to 13,066.25, 19,600.65 and 7,508.84

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Solution

The fourth proportional to 13,066.25, 19,600.65 and 7,508.84 is: 11,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.25 : 19,600.65 = 7,508.84 : x
  2. Step 2: Convert to fraction form
    13,066.25/19,600.65 = 7,508.84/x
  3. Step 3: Cross multiply
    13,066.25x = 19,600.65 × 7,508.84
  4. Step 4: Simplify right side
    13,066.25x = 147,178,046.74
  5. Step 5: Solve for x
    x = 147,178,046.74/13,066.25
  6. Step 6: Final answer
    x = 11,263.99

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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.