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Finding the Fourth Proportional to 17,665.64, 24,378.98 and 9,708.00

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Solution

The fourth proportional to 17,665.64, 24,378.98 and 9,708.00 is: 13,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.64 : 24,378.98 = 9,708.00 : x
  2. Step 2: Convert to fraction form
    17,665.64/24,378.98 = 9,708.00/x
  3. Step 3: Cross multiply
    17,665.64x = 24,378.98 × 9,708.00
  4. Step 4: Simplify right side
    17,665.64x = 236,671,135.01
  5. Step 5: Solve for x
    x = 236,671,135.01/17,665.64
  6. Step 6: Final answer
    x = 13,397.25

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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.