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Finding the Fourth Proportional to 13,125.34, 19,686.18 and 3,766.16

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Solution

The fourth proportional to 13,125.34, 19,686.18 and 3,766.16 is: 5,648.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.34 : 19,686.18 = 3,766.16 : x
  2. Step 2: Convert to fraction form
    13,125.34/19,686.18 = 3,766.16/x
  3. Step 3: Cross multiply
    13,125.34x = 19,686.18 × 3,766.16
  4. Step 4: Simplify right side
    13,125.34x = 74,141,303.67
  5. Step 5: Solve for x
    x = 74,141,303.67/13,125.34
  6. Step 6: Final answer
    x = 5,648.71

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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.