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Finding the Fourth Proportional to 26,476.70, 39,718.74 and 7,758.06

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Solution

The fourth proportional to 26,476.70, 39,718.74 and 7,758.06 is: 11,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476.70 : 39,718.74 = 7,758.06 : x
  2. Step 2: Convert to fraction form
    26,476.70/39,718.74 = 7,758.06/x
  3. Step 3: Cross multiply
    26,476.70x = 39,718.74 × 7,758.06
  4. Step 4: Simplify right side
    26,476.70x = 308,140,368.04
  5. Step 5: Solve for x
    x = 308,140,368.04/26,476.70
  6. Step 6: Final answer
    x = 11,638.17

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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.