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Finding the Fourth Proportional to 17,779.11, 24,534.66 and 9,820.77

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Solution

The fourth proportional to 17,779.11, 24,534.66 and 9,820.77 is: 13,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.11 : 24,534.66 = 9,820.77 : x
  2. Step 2: Convert to fraction form
    17,779.11/24,534.66 = 9,820.77/x
  3. Step 3: Cross multiply
    17,779.11x = 24,534.66 × 9,820.77
  4. Step 4: Simplify right side
    17,779.11x = 240,949,252.89
  5. Step 5: Solve for x
    x = 240,949,252.89/17,779.11
  6. Step 6: Final answer
    x = 13,552.38

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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.