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Finding the Fourth Proportional to 14,035.84, 19,368.96 and 7,748.20

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Solution

The fourth proportional to 14,035.84, 19,368.96 and 7,748.20 is: 10,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.84 : 19,368.96 = 7,748.20 : x
  2. Step 2: Convert to fraction form
    14,035.84/19,368.96 = 7,748.20/x
  3. Step 3: Cross multiply
    14,035.84x = 19,368.96 × 7,748.20
  4. Step 4: Simplify right side
    14,035.84x = 150,074,575.87
  5. Step 5: Solve for x
    x = 150,074,575.87/14,035.84
  6. Step 6: Final answer
    x = 10,692.24

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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.