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Finding the Fourth Proportional to 27,535.80, 41,303.70 and 9,065.40

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Solution

The fourth proportional to 27,535.80, 41,303.70 and 9,065.40 is: 13,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.80 : 41,303.70 = 9,065.40 : x
  2. Step 2: Convert to fraction form
    27,535.80/41,303.70 = 9,065.40/x
  3. Step 3: Cross multiply
    27,535.80x = 41,303.70 × 9,065.40
  4. Step 4: Simplify right side
    27,535.80x = 374,434,561.98
  5. Step 5: Solve for x
    x = 374,434,561.98/27,535.80
  6. Step 6: Final answer
    x = 13,598.10

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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.