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Finding the Fourth Proportional to 17,405.46, 24,019.96 and 9,447.66

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Solution

The fourth proportional to 17,405.46, 24,019.96 and 9,447.66 is: 13,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.46 : 24,019.96 = 9,447.66 : x
  2. Step 2: Convert to fraction form
    17,405.46/24,019.96 = 9,447.66/x
  3. Step 3: Cross multiply
    17,405.46x = 24,019.96 × 9,447.66
  4. Step 4: Simplify right side
    17,405.46x = 226,932,368.06
  5. Step 5: Solve for x
    x = 226,932,368.06/17,405.46
  6. Step 6: Final answer
    x = 13,038.00

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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.