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Finding the Fourth Proportional to 26,595.26, 39,892.76 and 7,875.40

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Solution

The fourth proportional to 26,595.26, 39,892.76 and 7,875.40 is: 11,813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,595.26 : 39,892.76 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    26,595.26/39,892.76 = 7,875.40/x
  3. Step 3: Cross multiply
    26,595.26x = 39,892.76 × 7,875.40
  4. Step 4: Simplify right side
    26,595.26x = 314,171,442.10
  5. Step 5: Solve for x
    x = 314,171,442.10/26,595.26
  6. Step 6: Final answer
    x = 11,813.06

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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.