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Finding the Fourth Proportional to 17,774.17, 26,666.24 and 7,779.79

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Solution

The fourth proportional to 17,774.17, 26,666.24 and 7,779.79 is: 11,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.17 : 26,666.24 = 7,779.79 : x
  2. Step 2: Convert to fraction form
    17,774.17/26,666.24 = 7,779.79/x
  3. Step 3: Cross multiply
    17,774.17x = 26,666.24 × 7,779.79
  4. Step 4: Simplify right side
    17,774.17x = 207,457,807.37
  5. Step 5: Solve for x
    x = 207,457,807.37/17,774.17
  6. Step 6: Final answer
    x = 11,671.87

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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.