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Finding the Fourth Proportional to 13,172, 19,766.59 and 4,852.10

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Solution

The fourth proportional to 13,172, 19,766.59 and 4,852.10 is: 7,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172 : 19,766.59 = 4,852.10 : x
  2. Step 2: Convert to fraction form
    13,172/19,766.59 = 4,852.10/x
  3. Step 3: Cross multiply
    13,172x = 19,766.59 × 4,852.10
  4. Step 4: Simplify right side
    13,172x = 95,909,471.34
  5. Step 5: Solve for x
    x = 95,909,471.34/13,172
  6. Step 6: Final answer
    x = 7,281.31

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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.