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Finding the Fourth Proportional to 17,779.96, 24,538.38 and 10,705.96

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Solution

The fourth proportional to 17,779.96, 24,538.38 and 10,705.96 is: 14,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.96 : 24,538.38 = 10,705.96 : x
  2. Step 2: Convert to fraction form
    17,779.96/24,538.38 = 10,705.96/x
  3. Step 3: Cross multiply
    17,779.96x = 24,538.38 × 10,705.96
  4. Step 4: Simplify right side
    17,779.96x = 262,706,914.74
  5. Step 5: Solve for x
    x = 262,706,914.74/17,779.96
  6. Step 6: Final answer
    x = 14,775.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.