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Finding the Fourth Proportional to 17,527.32, 26,291.22 and 9,785.40

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Solution

The fourth proportional to 17,527.32, 26,291.22 and 9,785.40 is: 14,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.32 : 26,291.22 = 9,785.40 : x
  2. Step 2: Convert to fraction form
    17,527.32/26,291.22 = 9,785.40/x
  3. Step 3: Cross multiply
    17,527.32x = 26,291.22 × 9,785.40
  4. Step 4: Simplify right side
    17,527.32x = 257,270,104.19
  5. Step 5: Solve for x
    x = 257,270,104.19/17,527.32
  6. Step 6: Final answer
    x = 14,678.23

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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.