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Finding the Fourth Proportional to 13,140.14, 19,713.02 and 3,780.07

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Solution

The fourth proportional to 13,140.14, 19,713.02 and 3,780.07 is: 5,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,140.14 : 19,713.02 = 3,780.07 : x
  2. Step 2: Convert to fraction form
    13,140.14/19,713.02 = 3,780.07/x
  3. Step 3: Cross multiply
    13,140.14x = 19,713.02 × 3,780.07
  4. Step 4: Simplify right side
    13,140.14x = 74,516,595.51
  5. Step 5: Solve for x
    x = 74,516,595.51/13,140.14
  6. Step 6: Final answer
    x = 5,670.91

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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.