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Finding the Fourth Proportional to 15,534.94, 23,282.95 and 12,235

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Solution

The fourth proportional to 15,534.94, 23,282.95 and 12,235 is: 18,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.94 : 23,282.95 = 12,235 : x
  2. Step 2: Convert to fraction form
    15,534.94/23,282.95 = 12,235/x
  3. Step 3: Cross multiply
    15,534.94x = 23,282.95 × 12,235
  4. Step 4: Simplify right side
    15,534.94x = 284,866,893.25
  5. Step 5: Solve for x
    x = 284,866,893.25/15,534.94
  6. Step 6: Final answer
    x = 18,337.17

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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.