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Finding the Fourth Proportional to 13,470.21, 18,588.24 and 7,804.68

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Solution

The fourth proportional to 13,470.21, 18,588.24 and 7,804.68 is: 10,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.21 : 18,588.24 = 7,804.68 : x
  2. Step 2: Convert to fraction form
    13,470.21/18,588.24 = 7,804.68/x
  3. Step 3: Cross multiply
    13,470.21x = 18,588.24 × 7,804.68
  4. Step 4: Simplify right side
    13,470.21x = 145,075,264.96
  5. Step 5: Solve for x
    x = 145,075,264.96/13,470.21
  6. Step 6: Final answer
    x = 10,770.08

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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.