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Finding the Fourth Proportional to 26,415.27, 39,624.74 and 9,774.93

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Solution

The fourth proportional to 26,415.27, 39,624.74 and 9,774.93 is: 14,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,415.27 : 39,624.74 = 9,774.93 : x
  2. Step 2: Convert to fraction form
    26,415.27/39,624.74 = 9,774.93/x
  3. Step 3: Cross multiply
    26,415.27x = 39,624.74 × 9,774.93
  4. Step 4: Simplify right side
    26,415.27x = 387,329,010.89
  5. Step 5: Solve for x
    x = 387,329,010.89/26,415.27
  6. Step 6: Final answer
    x = 14,663.07

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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.