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Finding the Fourth Proportional to 26,564, 39,811.88 and 13,386.88

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Solution

The fourth proportional to 26,564, 39,811.88 and 13,386.88 is: 20,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564 : 39,811.88 = 13,386.88 : x
  2. Step 2: Convert to fraction form
    26,564/39,811.88 = 13,386.88/x
  3. Step 3: Cross multiply
    26,564x = 39,811.88 × 13,386.88
  4. Step 4: Simplify right side
    26,564x = 532,956,860.13
  5. Step 5: Solve for x
    x = 532,956,860.13/26,564
  6. Step 6: Final answer
    x = 20,063.13

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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.