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Finding the Fourth Proportional to 17,806.40, 26,708.64 and 9,041.08

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Solution

The fourth proportional to 17,806.40, 26,708.64 and 9,041.08 is: 13,561.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.40 : 26,708.64 = 9,041.08 : x
  2. Step 2: Convert to fraction form
    17,806.40/26,708.64 = 9,041.08/x
  3. Step 3: Cross multiply
    17,806.40x = 26,708.64 × 9,041.08
  4. Step 4: Simplify right side
    17,806.40x = 241,474,950.93
  5. Step 5: Solve for x
    x = 241,474,950.93/17,806.40
  6. Step 6: Final answer
    x = 13,561.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.