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Finding the Fourth Proportional to 17,302.60, 25,952.64 and 9,883.81

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Solution

The fourth proportional to 17,302.60, 25,952.64 and 9,883.81 is: 14,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,302.60 : 25,952.64 = 9,883.81 : x
  2. Step 2: Convert to fraction form
    17,302.60/25,952.64 = 9,883.81/x
  3. Step 3: Cross multiply
    17,302.60x = 25,952.64 × 9,883.81
  4. Step 4: Simplify right side
    17,302.60x = 256,510,962.76
  5. Step 5: Solve for x
    x = 256,510,962.76/17,302.60
  6. Step 6: Final answer
    x = 14,825.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.