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Finding the Fourth Proportional to 27,026.32, 40,564.40 and 13,708.67

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Solution

The fourth proportional to 27,026.32, 40,564.40 and 13,708.67 is: 20,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,026.32 : 40,564.40 = 13,708.67 : x
  2. Step 2: Convert to fraction form
    27,026.32/40,564.40 = 13,708.67/x
  3. Step 3: Cross multiply
    27,026.32x = 40,564.40 × 13,708.67
  4. Step 4: Simplify right side
    27,026.32x = 556,083,973.35
  5. Step 5: Solve for x
    x = 556,083,973.35/27,026.32
  6. Step 6: Final answer
    x = 20,575.65

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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.