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Finding the Fourth Proportional to 13,577.60, 20,360.94 and 5,674.94

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Solution

The fourth proportional to 13,577.60, 20,360.94 and 5,674.94 is: 8,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.60 : 20,360.94 = 5,674.94 : x
  2. Step 2: Convert to fraction form
    13,577.60/20,360.94 = 5,674.94/x
  3. Step 3: Cross multiply
    13,577.60x = 20,360.94 × 5,674.94
  4. Step 4: Simplify right side
    13,577.60x = 115,547,112.84
  5. Step 5: Solve for x
    x = 115,547,112.84/13,577.60
  6. Step 6: Final answer
    x = 8,510.13

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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.