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Finding the Fourth Proportional to 26,407.95, 39,614.52 and 7,688.18

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Solution

The fourth proportional to 26,407.95, 39,614.52 and 7,688.18 is: 11,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.95 : 39,614.52 = 7,688.18 : x
  2. Step 2: Convert to fraction form
    26,407.95/39,614.52 = 7,688.18/x
  3. Step 3: Cross multiply
    26,407.95x = 39,614.52 × 7,688.18
  4. Step 4: Simplify right side
    26,407.95x = 304,563,362.30
  5. Step 5: Solve for x
    x = 304,563,362.30/26,407.95
  6. Step 6: Final answer
    x = 11,533.02

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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.