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Finding the Fourth Proportional to 17,823.72, 26,726.58 and 10,430.40

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Solution

The fourth proportional to 17,823.72, 26,726.58 and 10,430.40 is: 15,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.72 : 26,726.58 = 10,430.40 : x
  2. Step 2: Convert to fraction form
    17,823.72/26,726.58 = 10,430.40/x
  3. Step 3: Cross multiply
    17,823.72x = 26,726.58 × 10,430.40
  4. Step 4: Simplify right side
    17,823.72x = 278,768,920.03
  5. Step 5: Solve for x
    x = 278,768,920.03/17,823.72
  6. Step 6: Final answer
    x = 15,640.33

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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.