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Finding the Fourth Proportional to 19,534.68, 29,265.30 and 9,662.40

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Solution

The fourth proportional to 19,534.68, 29,265.30 and 9,662.40 is: 14,475.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.68 : 29,265.30 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    19,534.68/29,265.30 = 9,662.40/x
  3. Step 3: Cross multiply
    19,534.68x = 29,265.30 × 9,662.40
  4. Step 4: Simplify right side
    19,534.68x = 282,773,034.72
  5. Step 5: Solve for x
    x = 282,773,034.72/19,534.68
  6. Step 6: Final answer
    x = 14,475.44

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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.