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Finding the Fourth Proportional to 17,779.32, 24,534.27 and 9,821.48

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Solution

The fourth proportional to 17,779.32, 24,534.27 and 9,821.48 is: 13,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.32 : 24,534.27 = 9,821.48 : x
  2. Step 2: Convert to fraction form
    17,779.32/24,534.27 = 9,821.48/x
  3. Step 3: Cross multiply
    17,779.32x = 24,534.27 × 9,821.48
  4. Step 4: Simplify right side
    17,779.32x = 240,962,719.45
  5. Step 5: Solve for x
    x = 240,962,719.45/17,779.32
  6. Step 6: Final answer
    x = 13,552.98

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