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Finding the Fourth Proportional to 13,535.17, 20,302.77 and 7,298.12

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Solution

The fourth proportional to 13,535.17, 20,302.77 and 7,298.12 is: 10,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.17 : 20,302.77 = 7,298.12 : x
  2. Step 2: Convert to fraction form
    13,535.17/20,302.77 = 7,298.12/x
  3. Step 3: Cross multiply
    13,535.17x = 20,302.77 × 7,298.12
  4. Step 4: Simplify right side
    13,535.17x = 148,172,075.18
  5. Step 5: Solve for x
    x = 148,172,075.18/13,535.17
  6. Step 6: Final answer
    x = 10,947.19

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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.