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Finding the Fourth Proportional to 26,740.76, 40,114.98 and 9,205.88

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Solution

The fourth proportional to 26,740.76, 40,114.98 and 9,205.88 is: 13,810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,740.76 : 40,114.98 = 9,205.88 : x
  2. Step 2: Convert to fraction form
    26,740.76/40,114.98 = 9,205.88/x
  3. Step 3: Cross multiply
    26,740.76x = 40,114.98 × 9,205.88
  4. Step 4: Simplify right side
    26,740.76x = 369,293,491.51
  5. Step 5: Solve for x
    x = 369,293,491.51/26,740.76
  6. Step 6: Final answer
    x = 13,810.14

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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.