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Finding the Fourth Proportional to 13,197.40, 19,751.45 and 12,842.01

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Solution

The fourth proportional to 13,197.40, 19,751.45 and 12,842.01 is: 19,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.40 : 19,751.45 = 12,842.01 : x
  2. Step 2: Convert to fraction form
    13,197.40/19,751.45 = 12,842.01/x
  3. Step 3: Cross multiply
    13,197.40x = 19,751.45 × 12,842.01
  4. Step 4: Simplify right side
    13,197.40x = 253,648,254.20
  5. Step 5: Solve for x
    x = 253,648,254.20/13,197.40
  6. Step 6: Final answer
    x = 19,219.57

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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.