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Finding the Fourth Proportional to 13,770.13, 19,002.90 and 7,482.51

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Solution

The fourth proportional to 13,770.13, 19,002.90 and 7,482.51 is: 10,325.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.13 : 19,002.90 = 7,482.51 : x
  2. Step 2: Convert to fraction form
    13,770.13/19,002.90 = 7,482.51/x
  3. Step 3: Cross multiply
    13,770.13x = 19,002.90 × 7,482.51
  4. Step 4: Simplify right side
    13,770.13x = 142,189,323.07
  5. Step 5: Solve for x
    x = 142,189,323.07/13,770.13
  6. Step 6: Final answer
    x = 10,325.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.