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Finding the Fourth Proportional to 23,681.46, 35,497.56 and 9,635.46

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Solution

The fourth proportional to 23,681.46, 35,497.56 and 9,635.46 is: 14,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.46 : 35,497.56 = 9,635.46 : x
  2. Step 2: Convert to fraction form
    23,681.46/35,497.56 = 9,635.46/x
  3. Step 3: Cross multiply
    23,681.46x = 35,497.56 × 9,635.46
  4. Step 4: Simplify right side
    23,681.46x = 342,035,319.48
  5. Step 5: Solve for x
    x = 342,035,319.48/23,681.46
  6. Step 6: Final answer
    x = 14,443.17

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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.