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Finding the Fourth Proportional to 17,485.40, 24,130 and 9,527.66

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Solution

The fourth proportional to 17,485.40, 24,130 and 9,527.66 is: 13,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,485.40 : 24,130 = 9,527.66 : x
  2. Step 2: Convert to fraction form
    17,485.40/24,130 = 9,527.66/x
  3. Step 3: Cross multiply
    17,485.40x = 24,130 × 9,527.66
  4. Step 4: Simplify right side
    17,485.40x = 229,902,435.80
  5. Step 5: Solve for x
    x = 229,902,435.80/17,485.40
  6. Step 6: Final answer
    x = 13,148.25

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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.