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Finding the Fourth Proportional to 13,140.83, 19,709.12 and 3,780.47

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Solution

The fourth proportional to 13,140.83, 19,709.12 and 3,780.47 is: 5,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.83 : 19,709.12 = 3,780.47 : x
  2. Step 2: Convert to fraction form
    13,140.83/19,709.12 = 3,780.47/x
  3. Step 3: Cross multiply
    13,140.83x = 19,709.12 × 3,780.47
  4. Step 4: Simplify right side
    13,140.83x = 74,509,795.61
  5. Step 5: Solve for x
    x = 74,509,795.61/13,140.83
  6. Step 6: Final answer
    x = 5,670.10

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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.