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Finding the Fourth Proportional to 17,764.60, 24,515.41 and 9,807.16

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Solution

The fourth proportional to 17,764.60, 24,515.41 and 9,807.16 is: 13,534.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.60 : 24,515.41 = 9,807.16 : x
  2. Step 2: Convert to fraction form
    17,764.60/24,515.41 = 9,807.16/x
  3. Step 3: Cross multiply
    17,764.60x = 24,515.41 × 9,807.16
  4. Step 4: Simplify right side
    17,764.60x = 240,426,548.34
  5. Step 5: Solve for x
    x = 240,426,548.34/17,764.60
  6. Step 6: Final answer
    x = 13,534.03

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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.