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Finding the Fourth Proportional to 13,842.90, 20,764.71 and 5,075.46

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Solution

The fourth proportional to 13,842.90, 20,764.71 and 5,075.46 is: 7,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.90 : 20,764.71 = 5,075.46 : x
  2. Step 2: Convert to fraction form
    13,842.90/20,764.71 = 5,075.46/x
  3. Step 3: Cross multiply
    13,842.90x = 20,764.71 × 5,075.46
  4. Step 4: Simplify right side
    13,842.90x = 105,390,455.02
  5. Step 5: Solve for x
    x = 105,390,455.02/13,842.90
  6. Step 6: Final answer
    x = 7,613.32

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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.